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Finding the Fourth Proportional to 8,602.75, 11,876.12 and 8,084.35

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Solution

The fourth proportional to 8,602.75, 11,876.12 and 8,084.35 is: 11,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.75 : 11,876.12 = 8,084.35 : x
  2. Step 2: Convert to fraction form
    8,602.75/11,876.12 = 8,084.35/x
  3. Step 3: Cross multiply
    8,602.75x = 11,876.12 × 8,084.35
  4. Step 4: Simplify right side
    8,602.75x = 96,010,710.72
  5. Step 5: Solve for x
    x = 96,010,710.72/8,602.75
  6. Step 6: Final answer
    x = 11,160.47

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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.