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Finding the Fourth Proportional to 10,866.40, 16,278.64 and 6,487.36

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Solution

The fourth proportional to 10,866.40, 16,278.64 and 6,487.36 is: 9,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.40 : 16,278.64 = 6,487.36 : x
  2. Step 2: Convert to fraction form
    10,866.40/16,278.64 = 6,487.36/x
  3. Step 3: Cross multiply
    10,866.40x = 16,278.64 × 6,487.36
  4. Step 4: Simplify right side
    10,866.40x = 105,605,397.99
  5. Step 5: Solve for x
    x = 105,605,397.99/10,866.40
  6. Step 6: Final answer
    x = 9,718.53

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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.