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Finding the Fourth Proportional to 8,217.19, 12,289.19 and 7,298.71

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Solution

The fourth proportional to 8,217.19, 12,289.19 and 7,298.71 is: 10,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.19 : 12,289.19 = 7,298.71 : x
  2. Step 2: Convert to fraction form
    8,217.19/12,289.19 = 7,298.71/x
  3. Step 3: Cross multiply
    8,217.19x = 12,289.19 × 7,298.71
  4. Step 4: Simplify right side
    8,217.19x = 89,695,197.45
  5. Step 5: Solve for x
    x = 89,695,197.45/8,217.19
  6. Step 6: Final answer
    x = 10,915.56

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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.