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Finding the Fourth Proportional to 10,951.88, 15,115.95 and 6,972.14

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Solution

The fourth proportional to 10,951.88, 15,115.95 and 6,972.14 is: 9,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.88 : 15,115.95 = 6,972.14 : x
  2. Step 2: Convert to fraction form
    10,951.88/15,115.95 = 6,972.14/x
  3. Step 3: Cross multiply
    10,951.88x = 15,115.95 × 6,972.14
  4. Step 4: Simplify right side
    10,951.88x = 105,390,557.42
  5. Step 5: Solve for x
    x = 105,390,557.42/10,951.88
  6. Step 6: Final answer
    x = 9,623.06

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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.