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Finding the Fourth Proportional to 11,337.86, 15,644.52 and 6,302.12

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Solution

The fourth proportional to 11,337.86, 15,644.52 and 6,302.12 is: 8,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.86 : 15,644.52 = 6,302.12 : x
  2. Step 2: Convert to fraction form
    11,337.86/15,644.52 = 6,302.12/x
  3. Step 3: Cross multiply
    11,337.86x = 15,644.52 × 6,302.12
  4. Step 4: Simplify right side
    11,337.86x = 98,593,564.16
  5. Step 5: Solve for x
    x = 98,593,564.16/11,337.86
  6. Step 6: Final answer
    x = 8,695.96

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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.