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Finding the Fourth Proportional to 8,311.45, 12,478.71 and 5,203.69

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Solution

The fourth proportional to 8,311.45, 12,478.71 and 5,203.69 is: 7,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.45 : 12,478.71 = 5,203.69 : x
  2. Step 2: Convert to fraction form
    8,311.45/12,478.71 = 5,203.69/x
  3. Step 3: Cross multiply
    8,311.45x = 12,478.71 × 5,203.69
  4. Step 4: Simplify right side
    8,311.45x = 64,935,400.61
  5. Step 5: Solve for x
    x = 64,935,400.61/8,311.45
  6. Step 6: Final answer
    x = 7,812.76

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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.