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Finding the Fourth Proportional to 8,535.16, 12,780.78 and 6,861.40

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Solution

The fourth proportional to 8,535.16, 12,780.78 and 6,861.40 is: 10,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.16 : 12,780.78 = 6,861.40 : x
  2. Step 2: Convert to fraction form
    8,535.16/12,780.78 = 6,861.40/x
  3. Step 3: Cross multiply
    8,535.16x = 12,780.78 × 6,861.40
  4. Step 4: Simplify right side
    8,535.16x = 87,694,043.89
  5. Step 5: Solve for x
    x = 87,694,043.89/8,535.16
  6. Step 6: Final answer
    x = 10,274.45

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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.