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Finding the Fourth Proportional to 6,316.30, 8,715.78 and 3,663.16

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Solution

The fourth proportional to 6,316.30, 8,715.78 and 3,663.16 is: 5,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.30 : 8,715.78 = 3,663.16 : x
  2. Step 2: Convert to fraction form
    6,316.30/8,715.78 = 3,663.16/x
  3. Step 3: Cross multiply
    6,316.30x = 8,715.78 × 3,663.16
  4. Step 4: Simplify right side
    6,316.30x = 31,927,296.66
  5. Step 5: Solve for x
    x = 31,927,296.66/6,316.30
  6. Step 6: Final answer
    x = 5,054.75

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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.