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Finding the Fourth Proportional to 8,015.88, 12,011.50 and 6,785.70

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Solution

The fourth proportional to 8,015.88, 12,011.50 and 6,785.70 is: 10,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.88 : 12,011.50 = 6,785.70 : x
  2. Step 2: Convert to fraction form
    8,015.88/12,011.50 = 6,785.70/x
  3. Step 3: Cross multiply
    8,015.88x = 12,011.50 × 6,785.70
  4. Step 4: Simplify right side
    8,015.88x = 81,506,435.55
  5. Step 5: Solve for x
    x = 81,506,435.55/8,015.88
  6. Step 6: Final answer
    x = 10,168.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.