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Finding the Fourth Proportional to 11,842.90, 16,343.13 and 7,126.18

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Solution

The fourth proportional to 11,842.90, 16,343.13 and 7,126.18 is: 9,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.90 : 16,343.13 = 7,126.18 : x
  2. Step 2: Convert to fraction form
    11,842.90/16,343.13 = 7,126.18/x
  3. Step 3: Cross multiply
    11,842.90x = 16,343.13 × 7,126.18
  4. Step 4: Simplify right side
    11,842.90x = 116,464,086.14
  5. Step 5: Solve for x
    x = 116,464,086.14/11,842.90
  6. Step 6: Final answer
    x = 9,834.09

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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.