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Finding the Fourth Proportional to 10,141.61, 15,196.74 and 7,915.17

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Solution

The fourth proportional to 10,141.61, 15,196.74 and 7,915.17 is: 11,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.61 : 15,196.74 = 7,915.17 : x
  2. Step 2: Convert to fraction form
    10,141.61/15,196.74 = 7,915.17/x
  3. Step 3: Cross multiply
    10,141.61x = 15,196.74 × 7,915.17
  4. Step 4: Simplify right side
    10,141.61x = 120,284,780.55
  5. Step 5: Solve for x
    x = 120,284,780.55/10,141.61
  6. Step 6: Final answer
    x = 11,860.52

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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.