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Finding the Fourth Proportional to 7,565.65, 11,348.76 and 3,404.86

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Solution

The fourth proportional to 7,565.65, 11,348.76 and 3,404.86 is: 5,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.65 : 11,348.76 = 3,404.86 : x
  2. Step 2: Convert to fraction form
    7,565.65/11,348.76 = 3,404.86/x
  3. Step 3: Cross multiply
    7,565.65x = 11,348.76 × 3,404.86
  4. Step 4: Simplify right side
    7,565.65x = 38,640,938.97
  5. Step 5: Solve for x
    x = 38,640,938.97/7,565.65
  6. Step 6: Final answer
    x = 5,107.42

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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.