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Finding the Fourth Proportional to 11,139.62, 16,702.94 and 4,214.66

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Solution

The fourth proportional to 11,139.62, 16,702.94 and 4,214.66 is: 6,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.62 : 16,702.94 = 4,214.66 : x
  2. Step 2: Convert to fraction form
    11,139.62/16,702.94 = 4,214.66/x
  3. Step 3: Cross multiply
    11,139.62x = 16,702.94 × 4,214.66
  4. Step 4: Simplify right side
    11,139.62x = 70,397,213.10
  5. Step 5: Solve for x
    x = 70,397,213.10/11,139.62
  6. Step 6: Final answer
    x = 6,319.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.