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Finding the Fourth Proportional to 10,304.62, 15,461.28 and 5,044.28

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Solution

The fourth proportional to 10,304.62, 15,461.28 and 5,044.28 is: 7,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.62 : 15,461.28 = 5,044.28 : x
  2. Step 2: Convert to fraction form
    10,304.62/15,461.28 = 5,044.28/x
  3. Step 3: Cross multiply
    10,304.62x = 15,461.28 × 5,044.28
  4. Step 4: Simplify right side
    10,304.62x = 77,990,948.17
  5. Step 5: Solve for x
    x = 77,990,948.17/10,304.62
  6. Step 6: Final answer
    x = 7,568.54

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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.