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Finding the Fourth Proportional to 6,461,887.84, 8,918,924.78 and 4,016,345.82

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Solution

The fourth proportional to 6,461,887.84, 8,918,924.78 and 4,016,345.82 is: 5,543,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,887.84 : 8,918,924.78 = 4,016,345.82 : x
  2. Step 2: Convert to fraction form
    6,461,887.84/8,918,924.78 = 4,016,345.82/x
  3. Step 3: Cross multiply
    6,461,887.84x = 8,918,924.78 × 4,016,345.82
  4. Step 4: Simplify right side
    6,461,887.84x = 35,821,486,235,642.32
  5. Step 5: Solve for x
    x = 35,821,486,235,642.32/6,461,887.84
  6. Step 6: Final answer
    x = 5,543,501.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.