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Finding the Fourth Proportional to 10,468.24, 14,444.77 and 6,487.90

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Solution

The fourth proportional to 10,468.24, 14,444.77 and 6,487.90 is: 8,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.24 : 14,444.77 = 6,487.90 : x
  2. Step 2: Convert to fraction form
    10,468.24/14,444.77 = 6,487.90/x
  3. Step 3: Cross multiply
    10,468.24x = 14,444.77 × 6,487.90
  4. Step 4: Simplify right side
    10,468.24x = 93,716,223.28
  5. Step 5: Solve for x
    x = 93,716,223.28/10,468.24
  6. Step 6: Final answer
    x = 8,952.43

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