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Finding the Fourth Proportional to 7,282.92, 10,924.50 and 2,088.80

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Solution

The fourth proportional to 7,282.92, 10,924.50 and 2,088.80 is: 3,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.92 : 10,924.50 = 2,088.80 : x
  2. Step 2: Convert to fraction form
    7,282.92/10,924.50 = 2,088.80/x
  3. Step 3: Cross multiply
    7,282.92x = 10,924.50 × 2,088.80
  4. Step 4: Simplify right side
    7,282.92x = 22,819,040.98
  5. Step 5: Solve for x
    x = 22,819,040.98/7,282.92
  6. Step 6: Final answer
    x = 3,133.23

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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.