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Finding the Fourth Proportional to 7,565.26, 11,338.10 and 5,601.82

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Solution

The fourth proportional to 7,565.26, 11,338.10 and 5,601.82 is: 8,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.26 : 11,338.10 = 5,601.82 : x
  2. Step 2: Convert to fraction form
    7,565.26/11,338.10 = 5,601.82/x
  3. Step 3: Cross multiply
    7,565.26x = 11,338.10 × 5,601.82
  4. Step 4: Simplify right side
    7,565.26x = 63,513,995.34
  5. Step 5: Solve for x
    x = 63,513,995.34/7,565.26
  6. Step 6: Final answer
    x = 8,395.48

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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.