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Finding the Fourth Proportional to 7,565.57, 11,354.23 and 5,241.86

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Solution

The fourth proportional to 7,565.57, 11,354.23 and 5,241.86 is: 7,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.57 : 11,354.23 = 5,241.86 : x
  2. Step 2: Convert to fraction form
    7,565.57/11,354.23 = 5,241.86/x
  3. Step 3: Cross multiply
    7,565.57x = 11,354.23 × 5,241.86
  4. Step 4: Simplify right side
    7,565.57x = 59,517,310.81
  5. Step 5: Solve for x
    x = 59,517,310.81/7,565.57
  6. Step 6: Final answer
    x = 7,866.87

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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.