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Finding the Fourth Proportional to 10,667.16, 15,977.63 and 7,739

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Solution

The fourth proportional to 10,667.16, 15,977.63 and 7,739 is: 11,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.16 : 15,977.63 = 7,739 : x
  2. Step 2: Convert to fraction form
    10,667.16/15,977.63 = 7,739/x
  3. Step 3: Cross multiply
    10,667.16x = 15,977.63 × 7,739
  4. Step 4: Simplify right side
    10,667.16x = 123,650,878.57
  5. Step 5: Solve for x
    x = 123,650,878.57/10,667.16
  6. Step 6: Final answer
    x = 11,591.73

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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.