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Finding the Fourth Proportional to 10,658.89, 14,717.10 and 6,884.27

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Solution

The fourth proportional to 10,658.89, 14,717.10 and 6,884.27 is: 9,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.89 : 14,717.10 = 6,884.27 : x
  2. Step 2: Convert to fraction form
    10,658.89/14,717.10 = 6,884.27/x
  3. Step 3: Cross multiply
    10,658.89x = 14,717.10 × 6,884.27
  4. Step 4: Simplify right side
    10,658.89x = 101,316,490.02
  5. Step 5: Solve for x
    x = 101,316,490.02/10,658.89
  6. Step 6: Final answer
    x = 9,505.35

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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.