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Finding the Fourth Proportional to 8,711.68, 12,022.38 and 5,126.91

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Solution

The fourth proportional to 8,711.68, 12,022.38 and 5,126.91 is: 7,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.68 : 12,022.38 = 5,126.91 : x
  2. Step 2: Convert to fraction form
    8,711.68/12,022.38 = 5,126.91/x
  3. Step 3: Cross multiply
    8,711.68x = 12,022.38 × 5,126.91
  4. Step 4: Simplify right side
    8,711.68x = 61,637,660.25
  5. Step 5: Solve for x
    x = 61,637,660.25/8,711.68
  6. Step 6: Final answer
    x = 7,075.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.