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Finding the Fourth Proportional to 7,142.34, 9,850.89 and 5,459.52

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Solution

The fourth proportional to 7,142.34, 9,850.89 and 5,459.52 is: 7,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.34 : 9,850.89 = 5,459.52 : x
  2. Step 2: Convert to fraction form
    7,142.34/9,850.89 = 5,459.52/x
  3. Step 3: Cross multiply
    7,142.34x = 9,850.89 × 5,459.52
  4. Step 4: Simplify right side
    7,142.34x = 53,781,130.97
  5. Step 5: Solve for x
    x = 53,781,130.97/7,142.34
  6. Step 6: Final answer
    x = 7,529.90

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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.