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Finding the Fourth Proportional to 10,458.15, 15,687.23 and 6,565.29

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Solution

The fourth proportional to 10,458.15, 15,687.23 and 6,565.29 is: 9,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.15 : 15,687.23 = 6,565.29 : x
  2. Step 2: Convert to fraction form
    10,458.15/15,687.23 = 6,565.29/x
  3. Step 3: Cross multiply
    10,458.15x = 15,687.23 × 6,565.29
  4. Step 4: Simplify right side
    10,458.15x = 102,991,122.59
  5. Step 5: Solve for x
    x = 102,991,122.59/10,458.15
  6. Step 6: Final answer
    x = 9,847.93

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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.