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Finding the Fourth Proportional to 10,066.54, 13,890.72 and 5,759.68

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Solution

The fourth proportional to 10,066.54, 13,890.72 and 5,759.68 is: 7,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.54 : 13,890.72 = 5,759.68 : x
  2. Step 2: Convert to fraction form
    10,066.54/13,890.72 = 5,759.68/x
  3. Step 3: Cross multiply
    10,066.54x = 13,890.72 × 5,759.68
  4. Step 4: Simplify right side
    10,066.54x = 80,006,102.17
  5. Step 5: Solve for x
    x = 80,006,102.17/10,066.54
  6. Step 6: Final answer
    x = 7,947.73

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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.