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Finding the Fourth Proportional to 10,592.14, 15,885.16 and 4,267

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Solution

The fourth proportional to 10,592.14, 15,885.16 and 4,267 is: 6,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.14 : 15,885.16 = 4,267 : x
  2. Step 2: Convert to fraction form
    10,592.14/15,885.16 = 4,267/x
  3. Step 3: Cross multiply
    10,592.14x = 15,885.16 × 4,267
  4. Step 4: Simplify right side
    10,592.14x = 67,781,977.72
  5. Step 5: Solve for x
    x = 67,781,977.72/10,592.14
  6. Step 6: Final answer
    x = 6,399.27

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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.