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Finding the Fourth Proportional to 7,282.56, 10,924.32 and 2,088.48

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Solution

The fourth proportional to 7,282.56, 10,924.32 and 2,088.48 is: 3,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.56 : 10,924.32 = 2,088.48 : x
  2. Step 2: Convert to fraction form
    7,282.56/10,924.32 = 2,088.48/x
  3. Step 3: Cross multiply
    7,282.56x = 10,924.32 × 2,088.48
  4. Step 4: Simplify right side
    7,282.56x = 22,815,223.83
  5. Step 5: Solve for x
    x = 22,815,223.83/7,282.56
  6. Step 6: Final answer
    x = 3,132.86

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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.