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Finding the Fourth Proportional to 11,440.46, 15,785.93 and 6,725.66

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Solution

The fourth proportional to 11,440.46, 15,785.93 and 6,725.66 is: 9,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.46 : 15,785.93 = 6,725.66 : x
  2. Step 2: Convert to fraction form
    11,440.46/15,785.93 = 6,725.66/x
  3. Step 3: Cross multiply
    11,440.46x = 15,785.93 × 6,725.66
  4. Step 4: Simplify right side
    11,440.46x = 106,170,685.41
  5. Step 5: Solve for x
    x = 106,170,685.41/11,440.46
  6. Step 6: Final answer
    x = 9,280.29

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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.