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Finding the Fourth Proportional to 8,471.32, 11,700.23 and 5,633.78

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Solution

The fourth proportional to 8,471.32, 11,700.23 and 5,633.78 is: 7,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.32 : 11,700.23 = 5,633.78 : x
  2. Step 2: Convert to fraction form
    8,471.32/11,700.23 = 5,633.78/x
  3. Step 3: Cross multiply
    8,471.32x = 11,700.23 × 5,633.78
  4. Step 4: Simplify right side
    8,471.32x = 65,916,521.77
  5. Step 5: Solve for x
    x = 65,916,521.77/8,471.32
  6. Step 6: Final answer
    x = 7,781.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.