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Finding the Fourth Proportional to 10,212.76, 15,323.50 and 4,951.66

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Solution

The fourth proportional to 10,212.76, 15,323.50 and 4,951.66 is: 7,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.76 : 15,323.50 = 4,951.66 : x
  2. Step 2: Convert to fraction form
    10,212.76/15,323.50 = 4,951.66/x
  3. Step 3: Cross multiply
    10,212.76x = 15,323.50 × 4,951.66
  4. Step 4: Simplify right side
    10,212.76x = 75,876,729.89
  5. Step 5: Solve for x
    x = 75,876,729.89/10,212.76
  6. Step 6: Final answer
    x = 7,429.60

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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.