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Finding the Fourth Proportional to 7,406.11, 10,219.93 and 4,219

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Solution

The fourth proportional to 7,406.11, 10,219.93 and 4,219 is: 5,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.11 : 10,219.93 = 4,219 : x
  2. Step 2: Convert to fraction form
    7,406.11/10,219.93 = 4,219/x
  3. Step 3: Cross multiply
    7,406.11x = 10,219.93 × 4,219
  4. Step 4: Simplify right side
    7,406.11x = 43,117,884.67
  5. Step 5: Solve for x
    x = 43,117,884.67/7,406.11
  6. Step 6: Final answer
    x = 5,821.93

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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.