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Finding the Fourth Proportional to 8,554.41, 12,829.41 and 2,711.07

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Solution

The fourth proportional to 8,554.41, 12,829.41 and 2,711.07 is: 4,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.41 : 12,829.41 = 2,711.07 : x
  2. Step 2: Convert to fraction form
    8,554.41/12,829.41 = 2,711.07/x
  3. Step 3: Cross multiply
    8,554.41x = 12,829.41 × 2,711.07
  4. Step 4: Simplify right side
    8,554.41x = 34,781,428.57
  5. Step 5: Solve for x
    x = 34,781,428.57/8,554.41
  6. Step 6: Final answer
    x = 4,065.91

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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.