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Finding the Fourth Proportional to 11,474.12, 15,833.76 and 6,997.16

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Solution

The fourth proportional to 11,474.12, 15,833.76 and 6,997.16 is: 9,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.12 : 15,833.76 = 6,997.16 : x
  2. Step 2: Convert to fraction form
    11,474.12/15,833.76 = 6,997.16/x
  3. Step 3: Cross multiply
    11,474.12x = 15,833.76 × 6,997.16
  4. Step 4: Simplify right side
    11,474.12x = 110,791,352.12
  5. Step 5: Solve for x
    x = 110,791,352.12/11,474.12
  6. Step 6: Final answer
    x = 9,655.76

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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.