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Finding the Fourth Proportional to 8,440.41, 12,647.19 and 5,656.83

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Solution

The fourth proportional to 8,440.41, 12,647.19 and 5,656.83 is: 8,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.41 : 12,647.19 = 5,656.83 : x
  2. Step 2: Convert to fraction form
    8,440.41/12,647.19 = 5,656.83/x
  3. Step 3: Cross multiply
    8,440.41x = 12,647.19 × 5,656.83
  4. Step 4: Simplify right side
    8,440.41x = 71,543,003.81
  5. Step 5: Solve for x
    x = 71,543,003.81/8,440.41
  6. Step 6: Final answer
    x = 8,476.25

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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.