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Finding the Fourth Proportional to 7,291.40, 10,061.22 and 4,147.64

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Solution

The fourth proportional to 7,291.40, 10,061.22 and 4,147.64 is: 5,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.40 : 10,061.22 = 4,147.64 : x
  2. Step 2: Convert to fraction form
    7,291.40/10,061.22 = 4,147.64/x
  3. Step 3: Cross multiply
    7,291.40x = 10,061.22 × 4,147.64
  4. Step 4: Simplify right side
    7,291.40x = 41,730,318.52
  5. Step 5: Solve for x
    x = 41,730,318.52/7,291.40
  6. Step 6: Final answer
    x = 5,723.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.