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Finding the Fourth Proportional to 6,316.32, 8,715.66 and 3,663.60

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Solution

The fourth proportional to 6,316.32, 8,715.66 and 3,663.60 is: 5,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.32 : 8,715.66 = 3,663.60 : x
  2. Step 2: Convert to fraction form
    6,316.32/8,715.66 = 3,663.60/x
  3. Step 3: Cross multiply
    6,316.32x = 8,715.66 × 3,663.60
  4. Step 4: Simplify right side
    6,316.32x = 31,930,691.98
  5. Step 5: Solve for x
    x = 31,930,691.98/6,316.32
  6. Step 6: Final answer
    x = 5,055.27

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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.