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Finding the Fourth Proportional to 10,294.65, 15,442.11 and 2,899.26

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Solution

The fourth proportional to 10,294.65, 15,442.11 and 2,899.26 is: 4,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.65 : 15,442.11 = 2,899.26 : x
  2. Step 2: Convert to fraction form
    10,294.65/15,442.11 = 2,899.26/x
  3. Step 3: Cross multiply
    10,294.65x = 15,442.11 × 2,899.26
  4. Step 4: Simplify right side
    10,294.65x = 44,770,691.84
  5. Step 5: Solve for x
    x = 44,770,691.84/10,294.65
  6. Step 6: Final answer
    x = 4,348.93

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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.