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Finding the Fourth Proportional to 11,426.15, 15,770.64 and 6,948.96

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Solution

The fourth proportional to 11,426.15, 15,770.64 and 6,948.96 is: 9,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.15 : 15,770.64 = 6,948.96 : x
  2. Step 2: Convert to fraction form
    11,426.15/15,770.64 = 6,948.96/x
  3. Step 3: Cross multiply
    11,426.15x = 15,770.64 × 6,948.96
  4. Step 4: Simplify right side
    11,426.15x = 109,589,529.16
  5. Step 5: Solve for x
    x = 109,589,529.16/11,426.15
  6. Step 6: Final answer
    x = 9,591.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.