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Finding the Fourth Proportional to 7,142.34, 10,717.17 and 6,601.05

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Solution

The fourth proportional to 7,142.34, 10,717.17 and 6,601.05 is: 9,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.34 : 10,717.17 = 6,601.05 : x
  2. Step 2: Convert to fraction form
    7,142.34/10,717.17 = 6,601.05/x
  3. Step 3: Cross multiply
    7,142.34x = 10,717.17 × 6,601.05
  4. Step 4: Simplify right side
    7,142.34x = 70,744,575.03
  5. Step 5: Solve for x
    x = 70,744,575.03/7,142.34
  6. Step 6: Final answer
    x = 9,904.96

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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.