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Finding the Fourth Proportional to 7,702.42, 11,553.74 and 2,155.87

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Solution

The fourth proportional to 7,702.42, 11,553.74 and 2,155.87 is: 3,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.42 : 11,553.74 = 2,155.87 : x
  2. Step 2: Convert to fraction form
    7,702.42/11,553.74 = 2,155.87/x
  3. Step 3: Cross multiply
    7,702.42x = 11,553.74 × 2,155.87
  4. Step 4: Simplify right side
    7,702.42x = 24,908,308.21
  5. Step 5: Solve for x
    x = 24,908,308.21/7,702.42
  6. Step 6: Final answer
    x = 3,233.83

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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.