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Finding the Fourth Proportional to 8,240.14, 12,288.66 and 7,953.12

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Solution

The fourth proportional to 8,240.14, 12,288.66 and 7,953.12 is: 11,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.14 : 12,288.66 = 7,953.12 : x
  2. Step 2: Convert to fraction form
    8,240.14/12,288.66 = 7,953.12/x
  3. Step 3: Cross multiply
    8,240.14x = 12,288.66 × 7,953.12
  4. Step 4: Simplify right side
    8,240.14x = 97,733,187.62
  5. Step 5: Solve for x
    x = 97,733,187.62/8,240.14
  6. Step 6: Final answer
    x = 11,860.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.