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Finding the Fourth Proportional to 7,887.66, 11,832.66 and 3,731.70

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Solution

The fourth proportional to 7,887.66, 11,832.66 and 3,731.70 is: 5,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.66 : 11,832.66 = 3,731.70 : x
  2. Step 2: Convert to fraction form
    7,887.66/11,832.66 = 3,731.70/x
  3. Step 3: Cross multiply
    7,887.66x = 11,832.66 × 3,731.70
  4. Step 4: Simplify right side
    7,887.66x = 44,155,937.32
  5. Step 5: Solve for x
    x = 44,155,937.32/7,887.66
  6. Step 6: Final answer
    x = 5,598.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.