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Finding the Fourth Proportional to 8,701.05, 13,035.16 and 6,743.68

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Solution

The fourth proportional to 8,701.05, 13,035.16 and 6,743.68 is: 10,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.05 : 13,035.16 = 6,743.68 : x
  2. Step 2: Convert to fraction form
    8,701.05/13,035.16 = 6,743.68/x
  3. Step 3: Cross multiply
    8,701.05x = 13,035.16 × 6,743.68
  4. Step 4: Simplify right side
    8,701.05x = 87,904,947.79
  5. Step 5: Solve for x
    x = 87,904,947.79/8,701.05
  6. Step 6: Final answer
    x = 10,102.80

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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.