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Finding the Fourth Proportional to 10,049.53, 15,079.29 and 4,506.79

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Solution

The fourth proportional to 10,049.53, 15,079.29 and 4,506.79 is: 6,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.53 : 15,079.29 = 4,506.79 : x
  2. Step 2: Convert to fraction form
    10,049.53/15,079.29 = 4,506.79/x
  3. Step 3: Cross multiply
    10,049.53x = 15,079.29 × 4,506.79
  4. Step 4: Simplify right side
    10,049.53x = 67,959,193.38
  5. Step 5: Solve for x
    x = 67,959,193.38/10,049.53
  6. Step 6: Final answer
    x = 6,762.43

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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.