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Finding the Fourth Proportional to 7,283.31, 10,924.92 and 2,089.20

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Solution

The fourth proportional to 7,283.31, 10,924.92 and 2,089.20 is: 3,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.31 : 10,924.92 = 2,089.20 : x
  2. Step 2: Convert to fraction form
    7,283.31/10,924.92 = 2,089.20/x
  3. Step 3: Cross multiply
    7,283.31x = 10,924.92 × 2,089.20
  4. Step 4: Simplify right side
    7,283.31x = 22,824,342.86
  5. Step 5: Solve for x
    x = 22,824,342.86/7,283.31
  6. Step 6: Final answer
    x = 3,133.79

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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.