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Finding the Fourth Proportional to 6,316.84, 8,715.28 and 4,081.24

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Solution

The fourth proportional to 6,316.84, 8,715.28 and 4,081.24 is: 5,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.84 : 8,715.28 = 4,081.24 : x
  2. Step 2: Convert to fraction form
    6,316.84/8,715.28 = 4,081.24/x
  3. Step 3: Cross multiply
    6,316.84x = 8,715.28 × 4,081.24
  4. Step 4: Simplify right side
    6,316.84x = 35,569,149.35
  5. Step 5: Solve for x
    x = 35,569,149.35/6,316.84
  6. Step 6: Final answer
    x = 5,630.85

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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.