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Finding the Fourth Proportional to 10,378.92, 14,318.33 and 7,539.47

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Solution

The fourth proportional to 10,378.92, 14,318.33 and 7,539.47 is: 10,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.92 : 14,318.33 = 7,539.47 : x
  2. Step 2: Convert to fraction form
    10,378.92/14,318.33 = 7,539.47/x
  3. Step 3: Cross multiply
    10,378.92x = 14,318.33 × 7,539.47
  4. Step 4: Simplify right side
    10,378.92x = 107,952,619.49
  5. Step 5: Solve for x
    x = 107,952,619.49/10,378.92
  6. Step 6: Final answer
    x = 10,401.14

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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.