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Finding the Fourth Proportional to 8,437.41, 12,642.69 and 5,653.83

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Solution

The fourth proportional to 8,437.41, 12,642.69 and 5,653.83 is: 8,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.41 : 12,642.69 = 5,653.83 : x
  2. Step 2: Convert to fraction form
    8,437.41/12,642.69 = 5,653.83/x
  3. Step 3: Cross multiply
    8,437.41x = 12,642.69 × 5,653.83
  4. Step 4: Simplify right side
    8,437.41x = 71,479,620.00
  5. Step 5: Solve for x
    x = 71,479,620.00/8,437.41
  6. Step 6: Final answer
    x = 8,471.75

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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.