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Finding the Fourth Proportional to 10,318.86, 14,240.25 and 6,337.68

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Solution

The fourth proportional to 10,318.86, 14,240.25 and 6,337.68 is: 8,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.86 : 14,240.25 = 6,337.68 : x
  2. Step 2: Convert to fraction form
    10,318.86/14,240.25 = 6,337.68/x
  3. Step 3: Cross multiply
    10,318.86x = 14,240.25 × 6,337.68
  4. Step 4: Simplify right side
    10,318.86x = 90,250,147.62
  5. Step 5: Solve for x
    x = 90,250,147.62/10,318.86
  6. Step 6: Final answer
    x = 8,746.14

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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.