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Finding the Fourth Proportional to 8,378.13, 12,532.57 and 6,880.49

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Solution

The fourth proportional to 8,378.13, 12,532.57 and 6,880.49 is: 10,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.13 : 12,532.57 = 6,880.49 : x
  2. Step 2: Convert to fraction form
    8,378.13/12,532.57 = 6,880.49/x
  3. Step 3: Cross multiply
    8,378.13x = 12,532.57 × 6,880.49
  4. Step 4: Simplify right side
    8,378.13x = 86,230,298.89
  5. Step 5: Solve for x
    x = 86,230,298.89/8,378.13
  6. Step 6: Final answer
    x = 10,292.30

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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.