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Finding the Fourth Proportional to 7,306.71, 10,967.85 and 3,148.76

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Solution

The fourth proportional to 7,306.71, 10,967.85 and 3,148.76 is: 4,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.71 : 10,967.85 = 3,148.76 : x
  2. Step 2: Convert to fraction form
    7,306.71/10,967.85 = 3,148.76/x
  3. Step 3: Cross multiply
    7,306.71x = 10,967.85 × 3,148.76
  4. Step 4: Simplify right side
    7,306.71x = 34,535,072.53
  5. Step 5: Solve for x
    x = 34,535,072.53/7,306.71
  6. Step 6: Final answer
    x = 4,726.49

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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.