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Finding the Fourth Proportional to 11,576.46, 15,972.75 and 6,859.92

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Solution

The fourth proportional to 11,576.46, 15,972.75 and 6,859.92 is: 9,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.46 : 15,972.75 = 6,859.92 : x
  2. Step 2: Convert to fraction form
    11,576.46/15,972.75 = 6,859.92/x
  3. Step 3: Cross multiply
    11,576.46x = 15,972.75 × 6,859.92
  4. Step 4: Simplify right side
    11,576.46x = 109,571,787.18
  5. Step 5: Solve for x
    x = 109,571,787.18/11,576.46
  6. Step 6: Final answer
    x = 9,465.05

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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.