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Finding the Fourth Proportional to 10,596.28, 15,877.14 and 5,395

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Solution

The fourth proportional to 10,596.28, 15,877.14 and 5,395 is: 8,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.28 : 15,877.14 = 5,395 : x
  2. Step 2: Convert to fraction form
    10,596.28/15,877.14 = 5,395/x
  3. Step 3: Cross multiply
    10,596.28x = 15,877.14 × 5,395
  4. Step 4: Simplify right side
    10,596.28x = 85,657,170.30
  5. Step 5: Solve for x
    x = 85,657,170.30/10,596.28
  6. Step 6: Final answer
    x = 8,083.70

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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.