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Finding the Fourth Proportional to 7,802.52, 11,704.14 and 1,959.18

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Solution

The fourth proportional to 7,802.52, 11,704.14 and 1,959.18 is: 2,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.52 : 11,704.14 = 1,959.18 : x
  2. Step 2: Convert to fraction form
    7,802.52/11,704.14 = 1,959.18/x
  3. Step 3: Cross multiply
    7,802.52x = 11,704.14 × 1,959.18
  4. Step 4: Simplify right side
    7,802.52x = 22,930,517.01
  5. Step 5: Solve for x
    x = 22,930,517.01/7,802.52
  6. Step 6: Final answer
    x = 2,938.86

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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.