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Finding the Fourth Proportional to 8,471.12, 11,686.56 and 5,326.16

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Solution

The fourth proportional to 8,471.12, 11,686.56 and 5,326.16 is: 7,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.12 : 11,686.56 = 5,326.16 : x
  2. Step 2: Convert to fraction form
    8,471.12/11,686.56 = 5,326.16/x
  3. Step 3: Cross multiply
    8,471.12x = 11,686.56 × 5,326.16
  4. Step 4: Simplify right side
    8,471.12x = 62,244,488.41
  5. Step 5: Solve for x
    x = 62,244,488.41/8,471.12
  6. Step 6: Final answer
    x = 7,347.85

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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.