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Finding the Fourth Proportional to 8,362.40, 12,543.86 and 3,098.74

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Solution

The fourth proportional to 8,362.40, 12,543.86 and 3,098.74 is: 4,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.40 : 12,543.86 = 3,098.74 : x
  2. Step 2: Convert to fraction form
    8,362.40/12,543.86 = 3,098.74/x
  3. Step 3: Cross multiply
    8,362.40x = 12,543.86 × 3,098.74
  4. Step 4: Simplify right side
    8,362.40x = 38,870,160.74
  5. Step 5: Solve for x
    x = 38,870,160.74/8,362.40
  6. Step 6: Final answer
    x = 4,648.21

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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.