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Finding the Fourth Proportional to 8,199.78, 11,316.68 and 4,663.53

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Solution

The fourth proportional to 8,199.78, 11,316.68 and 4,663.53 is: 6,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.78 : 11,316.68 = 4,663.53 : x
  2. Step 2: Convert to fraction form
    8,199.78/11,316.68 = 4,663.53/x
  3. Step 3: Cross multiply
    8,199.78x = 11,316.68 × 4,663.53
  4. Step 4: Simplify right side
    8,199.78x = 52,775,653.36
  5. Step 5: Solve for x
    x = 52,775,653.36/8,199.78
  6. Step 6: Final answer
    x = 6,436.23

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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.