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Finding the Fourth Proportional to 7,615.38, 10,510 and 4,631.42

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Solution

The fourth proportional to 7,615.38, 10,510 and 4,631.42 is: 6,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.38 : 10,510 = 4,631.42 : x
  2. Step 2: Convert to fraction form
    7,615.38/10,510 = 4,631.42/x
  3. Step 3: Cross multiply
    7,615.38x = 10,510 × 4,631.42
  4. Step 4: Simplify right side
    7,615.38x = 48,676,224.20
  5. Step 5: Solve for x
    x = 48,676,224.20/7,615.38
  6. Step 6: Final answer
    x = 6,391.83

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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.