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Finding the Fourth Proportional to 7,149.57, 10,726.56 and 3,204.15

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Solution

The fourth proportional to 7,149.57, 10,726.56 and 3,204.15 is: 4,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.57 : 10,726.56 = 3,204.15 : x
  2. Step 2: Convert to fraction form
    7,149.57/10,726.56 = 3,204.15/x
  3. Step 3: Cross multiply
    7,149.57x = 10,726.56 × 3,204.15
  4. Step 4: Simplify right side
    7,149.57x = 34,369,507.22
  5. Step 5: Solve for x
    x = 34,369,507.22/7,149.57
  6. Step 6: Final answer
    x = 4,807.21

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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.