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Finding the Fourth Proportional to 10,584.35, 15,876.03 and 4,342.82

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Solution

The fourth proportional to 10,584.35, 15,876.03 and 4,342.82 is: 6,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.35 : 15,876.03 = 4,342.82 : x
  2. Step 2: Convert to fraction form
    10,584.35/15,876.03 = 4,342.82/x
  3. Step 3: Cross multiply
    10,584.35x = 15,876.03 × 4,342.82
  4. Step 4: Simplify right side
    10,584.35x = 68,946,640.87
  5. Step 5: Solve for x
    x = 68,946,640.87/10,584.35
  6. Step 6: Final answer
    x = 6,514.02

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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.