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Finding the Fourth Proportional to 10,399.64, 15,581.86 and 6,287

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Solution

The fourth proportional to 10,399.64, 15,581.86 and 6,287 is: 9,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.64 : 15,581.86 = 6,287 : x
  2. Step 2: Convert to fraction form
    10,399.64/15,581.86 = 6,287/x
  3. Step 3: Cross multiply
    10,399.64x = 15,581.86 × 6,287
  4. Step 4: Simplify right side
    10,399.64x = 97,963,153.82
  5. Step 5: Solve for x
    x = 97,963,153.82/10,399.64
  6. Step 6: Final answer
    x = 9,419.86

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