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Finding the Fourth Proportional to 10,436.02, 15,654 and 6,932.86

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Solution

The fourth proportional to 10,436.02, 15,654 and 6,932.86 is: 10,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.02 : 15,654 = 6,932.86 : x
  2. Step 2: Convert to fraction form
    10,436.02/15,654 = 6,932.86/x
  3. Step 3: Cross multiply
    10,436.02x = 15,654 × 6,932.86
  4. Step 4: Simplify right side
    10,436.02x = 108,526,990.44
  5. Step 5: Solve for x
    x = 108,526,990.44/10,436.02
  6. Step 6: Final answer
    x = 10,399.27

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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.