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Finding the Fourth Proportional to 7,306.31, 10,943.02 and 5,124.78

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Solution

The fourth proportional to 7,306.31, 10,943.02 and 5,124.78 is: 7,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.31 : 10,943.02 = 5,124.78 : x
  2. Step 2: Convert to fraction form
    7,306.31/10,943.02 = 5,124.78/x
  3. Step 3: Cross multiply
    7,306.31x = 10,943.02 × 5,124.78
  4. Step 4: Simplify right side
    7,306.31x = 56,080,570.04
  5. Step 5: Solve for x
    x = 56,080,570.04/7,306.31
  6. Step 6: Final answer
    x = 7,675.64

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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.