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Finding the Fourth Proportional to 7,306.40, 10,959.60 and 3,411.20

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Solution

The fourth proportional to 7,306.40, 10,959.60 and 3,411.20 is: 5,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.40 : 10,959.60 = 3,411.20 : x
  2. Step 2: Convert to fraction form
    7,306.40/10,959.60 = 3,411.20/x
  3. Step 3: Cross multiply
    7,306.40x = 10,959.60 × 3,411.20
  4. Step 4: Simplify right side
    7,306.40x = 37,385,387.52
  5. Step 5: Solve for x
    x = 37,385,387.52/7,306.40
  6. Step 6: Final answer
    x = 5,116.80

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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.