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Finding the Fourth Proportional to 7,088.25, 10,632.42 and 2,471.25

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Solution

The fourth proportional to 7,088.25, 10,632.42 and 2,471.25 is: 3,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.25 : 10,632.42 = 2,471.25 : x
  2. Step 2: Convert to fraction form
    7,088.25/10,632.42 = 2,471.25/x
  3. Step 3: Cross multiply
    7,088.25x = 10,632.42 × 2,471.25
  4. Step 4: Simplify right side
    7,088.25x = 26,275,367.93
  5. Step 5: Solve for x
    x = 26,275,367.93/7,088.25
  6. Step 6: Final answer
    x = 3,706.89

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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.