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Finding the Fourth Proportional to 6,315.57, 8,715.78 and 3,663.81

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Solution

The fourth proportional to 6,315.57, 8,715.78 and 3,663.81 is: 5,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.57 : 8,715.78 = 3,663.81 : x
  2. Step 2: Convert to fraction form
    6,315.57/8,715.78 = 3,663.81/x
  3. Step 3: Cross multiply
    6,315.57x = 8,715.78 × 3,663.81
  4. Step 4: Simplify right side
    6,315.57x = 31,932,961.92
  5. Step 5: Solve for x
    x = 31,932,961.92/6,315.57
  6. Step 6: Final answer
    x = 5,056.23

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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.