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Finding the Fourth Proportional to 10,337.86, 15,505.35 and 4,493.71

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Solution

The fourth proportional to 10,337.86, 15,505.35 and 4,493.71 is: 6,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.86 : 15,505.35 = 4,493.71 : x
  2. Step 2: Convert to fraction form
    10,337.86/15,505.35 = 4,493.71/x
  3. Step 3: Cross multiply
    10,337.86x = 15,505.35 × 4,493.71
  4. Step 4: Simplify right side
    10,337.86x = 69,676,546.35
  5. Step 5: Solve for x
    x = 69,676,546.35/10,337.86
  6. Step 6: Final answer
    x = 6,739.94

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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.