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Finding the Fourth Proportional to 7,088.64, 10,632.42 and 2,471.64

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Solution

The fourth proportional to 7,088.64, 10,632.42 and 2,471.64 is: 3,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.64 : 10,632.42 = 2,471.64 : x
  2. Step 2: Convert to fraction form
    7,088.64/10,632.42 = 2,471.64/x
  3. Step 3: Cross multiply
    7,088.64x = 10,632.42 × 2,471.64
  4. Step 4: Simplify right side
    7,088.64x = 26,279,514.57
  5. Step 5: Solve for x
    x = 26,279,514.57/7,088.64
  6. Step 6: Final answer
    x = 3,707.27

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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.