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Finding the Fourth Proportional to 10,991.64, 15,170.86 and 7,011.88

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Solution

The fourth proportional to 10,991.64, 15,170.86 and 7,011.88 is: 9,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.64 : 15,170.86 = 7,011.88 : x
  2. Step 2: Convert to fraction form
    10,991.64/15,170.86 = 7,011.88/x
  3. Step 3: Cross multiply
    10,991.64x = 15,170.86 × 7,011.88
  4. Step 4: Simplify right side
    10,991.64x = 106,376,249.82
  5. Step 5: Solve for x
    x = 106,376,249.82/10,991.64
  6. Step 6: Final answer
    x = 9,677.92

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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.