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Finding the Fourth Proportional to 11,902.16, 16,417.49 and 7,658.73

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Solution

The fourth proportional to 11,902.16, 16,417.49 and 7,658.73 is: 10,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.16 : 16,417.49 = 7,658.73 : x
  2. Step 2: Convert to fraction form
    11,902.16/16,417.49 = 7,658.73/x
  3. Step 3: Cross multiply
    11,902.16x = 16,417.49 × 7,658.73
  4. Step 4: Simplify right side
    11,902.16x = 125,737,084.89
  5. Step 5: Solve for x
    x = 125,737,084.89/11,902.16
  6. Step 6: Final answer
    x = 10,564.23

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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.