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Finding the Fourth Proportional to 8,316.81, 11,478.42 and 5,663.25

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Solution

The fourth proportional to 8,316.81, 11,478.42 and 5,663.25 is: 7,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.81 : 11,478.42 = 5,663.25 : x
  2. Step 2: Convert to fraction form
    8,316.81/11,478.42 = 5,663.25/x
  3. Step 3: Cross multiply
    8,316.81x = 11,478.42 × 5,663.25
  4. Step 4: Simplify right side
    8,316.81x = 65,005,162.07
  5. Step 5: Solve for x
    x = 65,005,162.07/8,316.81
  6. Step 6: Final answer
    x = 7,816.12

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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.