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Finding the Fourth Proportional to 10,294.66, 15,442.89 and 2,899.18

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Solution

The fourth proportional to 10,294.66, 15,442.89 and 2,899.18 is: 4,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.66 : 15,442.89 = 2,899.18 : x
  2. Step 2: Convert to fraction form
    10,294.66/15,442.89 = 2,899.18/x
  3. Step 3: Cross multiply
    10,294.66x = 15,442.89 × 2,899.18
  4. Step 4: Simplify right side
    10,294.66x = 44,771,717.83
  5. Step 5: Solve for x
    x = 44,771,717.83/10,294.66
  6. Step 6: Final answer
    x = 4,349.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.