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Finding the Fourth Proportional to 8,200.14, 11,316.84 and 4,663.68

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Solution

The fourth proportional to 8,200.14, 11,316.84 and 4,663.68 is: 6,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.14 : 11,316.84 = 4,663.68 : x
  2. Step 2: Convert to fraction form
    8,200.14/11,316.84 = 4,663.68/x
  3. Step 3: Cross multiply
    8,200.14x = 11,316.84 × 4,663.68
  4. Step 4: Simplify right side
    8,200.14x = 52,778,120.37
  5. Step 5: Solve for x
    x = 52,778,120.37/8,200.14
  6. Step 6: Final answer
    x = 6,436.25

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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.