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Finding the Fourth Proportional to 8,633.78, 11,914.35 and 4,857.15

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Solution

The fourth proportional to 8,633.78, 11,914.35 and 4,857.15 is: 6,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.78 : 11,914.35 = 4,857.15 : x
  2. Step 2: Convert to fraction form
    8,633.78/11,914.35 = 4,857.15/x
  3. Step 3: Cross multiply
    8,633.78x = 11,914.35 × 4,857.15
  4. Step 4: Simplify right side
    8,633.78x = 57,869,785.10
  5. Step 5: Solve for x
    x = 57,869,785.10/8,633.78
  6. Step 6: Final answer
    x = 6,702.72

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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.