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Finding the Fourth Proportional to 8,910.33, 12,294.90 and 5,082

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Solution

The fourth proportional to 8,910.33, 12,294.90 and 5,082 is: 7,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.33 : 12,294.90 = 5,082 : x
  2. Step 2: Convert to fraction form
    8,910.33/12,294.90 = 5,082/x
  3. Step 3: Cross multiply
    8,910.33x = 12,294.90 × 5,082
  4. Step 4: Simplify right side
    8,910.33x = 62,482,681.80
  5. Step 5: Solve for x
    x = 62,482,681.80/8,910.33
  6. Step 6: Final answer
    x = 7,012.39

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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.