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Finding the Fourth Proportional to 8,210.76, 12,315.69 and 7,296.78

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Solution

The fourth proportional to 8,210.76, 12,315.69 and 7,296.78 is: 10,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.76 : 12,315.69 = 7,296.78 : x
  2. Step 2: Convert to fraction form
    8,210.76/12,315.69 = 7,296.78/x
  3. Step 3: Cross multiply
    8,210.76x = 12,315.69 × 7,296.78
  4. Step 4: Simplify right side
    8,210.76x = 89,864,817.77
  5. Step 5: Solve for x
    x = 89,864,817.77/8,210.76
  6. Step 6: Final answer
    x = 10,944.76

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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.