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Finding the Fourth Proportional to 10,770.60, 16,130.10 and 6,374.76

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Solution

The fourth proportional to 10,770.60, 16,130.10 and 6,374.76 is: 9,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.60 : 16,130.10 = 6,374.76 : x
  2. Step 2: Convert to fraction form
    10,770.60/16,130.10 = 6,374.76/x
  3. Step 3: Cross multiply
    10,770.60x = 16,130.10 × 6,374.76
  4. Step 4: Simplify right side
    10,770.60x = 102,825,516.28
  5. Step 5: Solve for x
    x = 102,825,516.28/10,770.60
  6. Step 6: Final answer
    x = 9,546.87

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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.