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Finding the Fourth Proportional to 7,158.12, 9,881.92 and 5,561.20

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Solution

The fourth proportional to 7,158.12, 9,881.92 and 5,561.20 is: 7,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.12 : 9,881.92 = 5,561.20 : x
  2. Step 2: Convert to fraction form
    7,158.12/9,881.92 = 5,561.20/x
  3. Step 3: Cross multiply
    7,158.12x = 9,881.92 × 5,561.20
  4. Step 4: Simplify right side
    7,158.12x = 54,955,333.50
  5. Step 5: Solve for x
    x = 54,955,333.50/7,158.12
  6. Step 6: Final answer
    x = 7,677.34

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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.