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Finding the Fourth Proportional to 11,523.46, 15,902.48 and 6,486.70

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Solution

The fourth proportional to 11,523.46, 15,902.48 and 6,486.70 is: 8,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.46 : 15,902.48 = 6,486.70 : x
  2. Step 2: Convert to fraction form
    11,523.46/15,902.48 = 6,486.70/x
  3. Step 3: Cross multiply
    11,523.46x = 15,902.48 × 6,486.70
  4. Step 4: Simplify right side
    11,523.46x = 103,154,617.02
  5. Step 5: Solve for x
    x = 103,154,617.02/11,523.46
  6. Step 6: Final answer
    x = 8,951.71

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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.