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Finding the Fourth Proportional to 11,096.31, 15,312.96 and 6,060.60

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Solution

The fourth proportional to 11,096.31, 15,312.96 and 6,060.60 is: 8,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.31 : 15,312.96 = 6,060.60 : x
  2. Step 2: Convert to fraction form
    11,096.31/15,312.96 = 6,060.60/x
  3. Step 3: Cross multiply
    11,096.31x = 15,312.96 × 6,060.60
  4. Step 4: Simplify right side
    11,096.31x = 92,805,725.38
  5. Step 5: Solve for x
    x = 92,805,725.38/11,096.31
  6. Step 6: Final answer
    x = 8,363.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.