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Finding the Fourth Proportional to 8,443.56, 12,655.68 and 5,149.34

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Solution

The fourth proportional to 8,443.56, 12,655.68 and 5,149.34 is: 7,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.56 : 12,655.68 = 5,149.34 : x
  2. Step 2: Convert to fraction form
    8,443.56/12,655.68 = 5,149.34/x
  3. Step 3: Cross multiply
    8,443.56x = 12,655.68 × 5,149.34
  4. Step 4: Simplify right side
    8,443.56x = 65,168,399.25
  5. Step 5: Solve for x
    x = 65,168,399.25/8,443.56
  6. Step 6: Final answer
    x = 7,718.12

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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.