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Finding the Fourth Proportional to 10,894.80, 16,330.50 and 4,311.84

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Solution

The fourth proportional to 10,894.80, 16,330.50 and 4,311.84 is: 6,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.80 : 16,330.50 = 4,311.84 : x
  2. Step 2: Convert to fraction form
    10,894.80/16,330.50 = 4,311.84/x
  3. Step 3: Cross multiply
    10,894.80x = 16,330.50 × 4,311.84
  4. Step 4: Simplify right side
    10,894.80x = 70,414,503.12
  5. Step 5: Solve for x
    x = 70,414,503.12/10,894.80
  6. Step 6: Final answer
    x = 6,463.13

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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.