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Finding the Fourth Proportional to 7,702.12, 11,544.92 and 4,003.44

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Solution

The fourth proportional to 7,702.12, 11,544.92 and 4,003.44 is: 6,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.12 : 11,544.92 = 4,003.44 : x
  2. Step 2: Convert to fraction form
    7,702.12/11,544.92 = 4,003.44/x
  3. Step 3: Cross multiply
    7,702.12x = 11,544.92 × 4,003.44
  4. Step 4: Simplify right side
    7,702.12x = 46,219,394.52
  5. Step 5: Solve for x
    x = 46,219,394.52/7,702.12
  6. Step 6: Final answer
    x = 6,000.87

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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.