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Finding the Fourth Proportional to 7,122.24, 10,681.92 and 5,964.48

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Solution

The fourth proportional to 7,122.24, 10,681.92 and 5,964.48 is: 8,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.24 : 10,681.92 = 5,964.48 : x
  2. Step 2: Convert to fraction form
    7,122.24/10,681.92 = 5,964.48/x
  3. Step 3: Cross multiply
    7,122.24x = 10,681.92 × 5,964.48
  4. Step 4: Simplify right side
    7,122.24x = 63,712,098.20
  5. Step 5: Solve for x
    x = 63,712,098.20/7,122.24
  6. Step 6: Final answer
    x = 8,945.51

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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.