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Finding the Fourth Proportional to 8,217.68, 12,317.56 and 5,140.56

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Solution

The fourth proportional to 8,217.68, 12,317.56 and 5,140.56 is: 7,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.68 : 12,317.56 = 5,140.56 : x
  2. Step 2: Convert to fraction form
    8,217.68/12,317.56 = 5,140.56/x
  3. Step 3: Cross multiply
    8,217.68x = 12,317.56 × 5,140.56
  4. Step 4: Simplify right side
    8,217.68x = 63,319,156.23
  5. Step 5: Solve for x
    x = 63,319,156.23/8,217.68
  6. Step 6: Final answer
    x = 7,705.24

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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.