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Finding the Fourth Proportional to 8,199.60, 11,316.66 and 4,663.14

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Solution

The fourth proportional to 8,199.60, 11,316.66 and 4,663.14 is: 6,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.60 : 11,316.66 = 4,663.14 : x
  2. Step 2: Convert to fraction form
    8,199.60/11,316.66 = 4,663.14/x
  3. Step 3: Cross multiply
    8,199.60x = 11,316.66 × 4,663.14
  4. Step 4: Simplify right side
    8,199.60x = 52,771,169.91
  5. Step 5: Solve for x
    x = 52,771,169.91/8,199.60
  6. Step 6: Final answer
    x = 6,435.82

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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.