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Finding the Fourth Proportional to 7,133.50, 10,701.75 and 2,691.08

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Solution

The fourth proportional to 7,133.50, 10,701.75 and 2,691.08 is: 4,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.50 : 10,701.75 = 2,691.08 : x
  2. Step 2: Convert to fraction form
    7,133.50/10,701.75 = 2,691.08/x
  3. Step 3: Cross multiply
    7,133.50x = 10,701.75 × 2,691.08
  4. Step 4: Simplify right side
    7,133.50x = 28,799,265.39
  5. Step 5: Solve for x
    x = 28,799,265.39/7,133.50
  6. Step 6: Final answer
    x = 4,037.19

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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.