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Finding the Fourth Proportional to 10,057.04, 13,881.89 and 7,081.58

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Solution

The fourth proportional to 10,057.04, 13,881.89 and 7,081.58 is: 9,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.04 : 13,881.89 = 7,081.58 : x
  2. Step 2: Convert to fraction form
    10,057.04/13,881.89 = 7,081.58/x
  3. Step 3: Cross multiply
    10,057.04x = 13,881.89 × 7,081.58
  4. Step 4: Simplify right side
    10,057.04x = 98,305,609.77
  5. Step 5: Solve for x
    x = 98,305,609.77/10,057.04
  6. Step 6: Final answer
    x = 9,774.81

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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.