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Finding the Fourth Proportional to 10,584.78, 15,877.18 and 2,687.89

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Solution

The fourth proportional to 10,584.78, 15,877.18 and 2,687.89 is: 4,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.78 : 15,877.18 = 2,687.89 : x
  2. Step 2: Convert to fraction form
    10,584.78/15,877.18 = 2,687.89/x
  3. Step 3: Cross multiply
    10,584.78x = 15,877.18 × 2,687.89
  4. Step 4: Simplify right side
    10,584.78x = 42,676,093.50
  5. Step 5: Solve for x
    x = 42,676,093.50/10,584.78
  6. Step 6: Final answer
    x = 4,031.84

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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.