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Finding the Fourth Proportional to 8,502.40, 12,772.80 and 5,910.40

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Solution

The fourth proportional to 8,502.40, 12,772.80 and 5,910.40 is: 8,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.40 : 12,772.80 = 5,910.40 : x
  2. Step 2: Convert to fraction form
    8,502.40/12,772.80 = 5,910.40/x
  3. Step 3: Cross multiply
    8,502.40x = 12,772.80 × 5,910.40
  4. Step 4: Simplify right side
    8,502.40x = 75,492,357.12
  5. Step 5: Solve for x
    x = 75,492,357.12/8,502.40
  6. Step 6: Final answer
    x = 8,878.95

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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.