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Finding the Fourth Proportional to 7,565.78, 11,349.26 and 2,301.24

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Solution

The fourth proportional to 7,565.78, 11,349.26 and 2,301.24 is: 3,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.78 : 11,349.26 = 2,301.24 : x
  2. Step 2: Convert to fraction form
    7,565.78/11,349.26 = 2,301.24/x
  3. Step 3: Cross multiply
    7,565.78x = 11,349.26 × 2,301.24
  4. Step 4: Simplify right side
    7,565.78x = 26,117,359.58
  5. Step 5: Solve for x
    x = 26,117,359.58/7,565.78
  6. Step 6: Final answer
    x = 3,452.04

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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.