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Finding the Fourth Proportional to 8,523.12, 11,758.12 and 4,984.78

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Solution

The fourth proportional to 8,523.12, 11,758.12 and 4,984.78 is: 6,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.12 : 11,758.12 = 4,984.78 : x
  2. Step 2: Convert to fraction form
    8,523.12/11,758.12 = 4,984.78/x
  3. Step 3: Cross multiply
    8,523.12x = 11,758.12 × 4,984.78
  4. Step 4: Simplify right side
    8,523.12x = 58,611,641.41
  5. Step 5: Solve for x
    x = 58,611,641.41/8,523.12
  6. Step 6: Final answer
    x = 6,876.78

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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.