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Finding the Fourth Proportional to 10,915.68, 15,062.40 and 6,135.96

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Solution

The fourth proportional to 10,915.68, 15,062.40 and 6,135.96 is: 8,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.68 : 15,062.40 = 6,135.96 : x
  2. Step 2: Convert to fraction form
    10,915.68/15,062.40 = 6,135.96/x
  3. Step 3: Cross multiply
    10,915.68x = 15,062.40 × 6,135.96
  4. Step 4: Simplify right side
    10,915.68x = 92,422,283.90
  5. Step 5: Solve for x
    x = 92,422,283.90/10,915.68
  6. Step 6: Final answer
    x = 8,466.93

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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.