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Finding the Fourth Proportional to 7,139.52, 10,705.44 and 3,244.80

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Solution

The fourth proportional to 7,139.52, 10,705.44 and 3,244.80 is: 4,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.52 : 10,705.44 = 3,244.80 : x
  2. Step 2: Convert to fraction form
    7,139.52/10,705.44 = 3,244.80/x
  3. Step 3: Cross multiply
    7,139.52x = 10,705.44 × 3,244.80
  4. Step 4: Simplify right side
    7,139.52x = 34,737,011.71
  5. Step 5: Solve for x
    x = 34,737,011.71/7,139.52
  6. Step 6: Final answer
    x = 4,865.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.