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Finding the Fourth Proportional to 10,845.42, 16,282.53 and 6,951.66

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Solution

The fourth proportional to 10,845.42, 16,282.53 and 6,951.66 is: 10,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.42 : 16,282.53 = 6,951.66 : x
  2. Step 2: Convert to fraction form
    10,845.42/16,282.53 = 6,951.66/x
  3. Step 3: Cross multiply
    10,845.42x = 16,282.53 × 6,951.66
  4. Step 4: Simplify right side
    10,845.42x = 113,190,612.50
  5. Step 5: Solve for x
    x = 113,190,612.50/10,845.42
  6. Step 6: Final answer
    x = 10,436.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.