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Finding the Fourth Proportional to 11,159.40, 16,742.97 and 7,426.16

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Solution

The fourth proportional to 11,159.40, 16,742.97 and 7,426.16 is: 11,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.40 : 16,742.97 = 7,426.16 : x
  2. Step 2: Convert to fraction form
    11,159.40/16,742.97 = 7,426.16/x
  3. Step 3: Cross multiply
    11,159.40x = 16,742.97 × 7,426.16
  4. Step 4: Simplify right side
    11,159.40x = 124,335,874.75
  5. Step 5: Solve for x
    x = 124,335,874.75/11,159.40
  6. Step 6: Final answer
    x = 11,141.81

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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.