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Finding the Fourth Proportional to 7,717.58, 10,640.55 and 6,299.81

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Solution

The fourth proportional to 7,717.58, 10,640.55 and 6,299.81 is: 8,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.58 : 10,640.55 = 6,299.81 : x
  2. Step 2: Convert to fraction form
    7,717.58/10,640.55 = 6,299.81/x
  3. Step 3: Cross multiply
    7,717.58x = 10,640.55 × 6,299.81
  4. Step 4: Simplify right side
    7,717.58x = 67,033,443.30
  5. Step 5: Solve for x
    x = 67,033,443.30/7,717.58
  6. Step 6: Final answer
    x = 8,685.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.