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Finding the Fourth Proportional to 11,475.24, 15,838.07 and 6,695.75

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Solution

The fourth proportional to 11,475.24, 15,838.07 and 6,695.75 is: 9,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.24 : 15,838.07 = 6,695.75 : x
  2. Step 2: Convert to fraction form
    11,475.24/15,838.07 = 6,695.75/x
  3. Step 3: Cross multiply
    11,475.24x = 15,838.07 × 6,695.75
  4. Step 4: Simplify right side
    11,475.24x = 106,047,644.53
  5. Step 5: Solve for x
    x = 106,047,644.53/11,475.24
  6. Step 6: Final answer
    x = 9,241.43

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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.