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Finding the Fourth Proportional to 10,941.60, 16,401.78 and 8,715

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Solution

The fourth proportional to 10,941.60, 16,401.78 and 8,715 is: 13,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.60 : 16,401.78 = 8,715 : x
  2. Step 2: Convert to fraction form
    10,941.60/16,401.78 = 8,715/x
  3. Step 3: Cross multiply
    10,941.60x = 16,401.78 × 8,715
  4. Step 4: Simplify right side
    10,941.60x = 142,941,512.70
  5. Step 5: Solve for x
    x = 142,941,512.70/10,941.60
  6. Step 6: Final answer
    x = 13,064.04

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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.