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Finding the Fourth Proportional to 10,957.70, 16,436.55 and 8,770.70

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Solution

The fourth proportional to 10,957.70, 16,436.55 and 8,770.70 is: 13,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.70 : 16,436.55 = 8,770.70 : x
  2. Step 2: Convert to fraction form
    10,957.70/16,436.55 = 8,770.70/x
  3. Step 3: Cross multiply
    10,957.70x = 16,436.55 × 8,770.70
  4. Step 4: Simplify right side
    10,957.70x = 144,160,049.09
  5. Step 5: Solve for x
    x = 144,160,049.09/10,957.70
  6. Step 6: Final answer
    x = 13,156.05

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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.