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Finding the Fourth Proportional to 8,217.84, 12,315.72 and 5,294.64

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Solution

The fourth proportional to 8,217.84, 12,315.72 and 5,294.64 is: 7,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.84 : 12,315.72 = 5,294.64 : x
  2. Step 2: Convert to fraction form
    8,217.84/12,315.72 = 5,294.64/x
  3. Step 3: Cross multiply
    8,217.84x = 12,315.72 × 5,294.64
  4. Step 4: Simplify right side
    8,217.84x = 65,207,303.74
  5. Step 5: Solve for x
    x = 65,207,303.74/8,217.84
  6. Step 6: Final answer
    x = 7,934.85

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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.