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Finding the Fourth Proportional to 8,711.69, 12,022.29 and 5,127.44

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Solution

The fourth proportional to 8,711.69, 12,022.29 and 5,127.44 is: 7,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.69 : 12,022.29 = 5,127.44 : x
  2. Step 2: Convert to fraction form
    8,711.69/12,022.29 = 5,127.44/x
  3. Step 3: Cross multiply
    8,711.69x = 12,022.29 × 5,127.44
  4. Step 4: Simplify right side
    8,711.69x = 61,643,510.53
  5. Step 5: Solve for x
    x = 61,643,510.53/8,711.69
  6. Step 6: Final answer
    x = 7,075.96

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