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Finding the Fourth Proportional to 7,564.08, 11,342.22 and 3,400.53

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Solution

The fourth proportional to 7,564.08, 11,342.22 and 3,400.53 is: 5,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.08 : 11,342.22 = 3,400.53 : x
  2. Step 2: Convert to fraction form
    7,564.08/11,342.22 = 3,400.53/x
  3. Step 3: Cross multiply
    7,564.08x = 11,342.22 × 3,400.53
  4. Step 4: Simplify right side
    7,564.08x = 38,569,559.38
  5. Step 5: Solve for x
    x = 38,569,559.38/7,564.08
  6. Step 6: Final answer
    x = 5,099.04

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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.