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Finding the Fourth Proportional to 11,227.98, 15,508.35 and 7,702.86

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Solution

The fourth proportional to 11,227.98, 15,508.35 and 7,702.86 is: 10,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.98 : 15,508.35 = 7,702.86 : x
  2. Step 2: Convert to fraction form
    11,227.98/15,508.35 = 7,702.86/x
  3. Step 3: Cross multiply
    11,227.98x = 15,508.35 × 7,702.86
  4. Step 4: Simplify right side
    11,227.98x = 119,458,648.88
  5. Step 5: Solve for x
    x = 119,458,648.88/11,227.98
  6. Step 6: Final answer
    x = 10,639.37

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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.