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Finding the Fourth Proportional to 8,862.25, 12,228.88 and 5,084.38

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Solution

The fourth proportional to 8,862.25, 12,228.88 and 5,084.38 is: 7,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.25 : 12,228.88 = 5,084.38 : x
  2. Step 2: Convert to fraction form
    8,862.25/12,228.88 = 5,084.38/x
  3. Step 3: Cross multiply
    8,862.25x = 12,228.88 × 5,084.38
  4. Step 4: Simplify right side
    8,862.25x = 62,176,272.89
  5. Step 5: Solve for x
    x = 62,176,272.89/8,862.25
  6. Step 6: Final answer
    x = 7,015.86

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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.