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Finding the Fourth Proportional to 8,197.64, 11,316.60 and 5,549.34

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Solution

The fourth proportional to 8,197.64, 11,316.60 and 5,549.34 is: 7,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.64 : 11,316.60 = 5,549.34 : x
  2. Step 2: Convert to fraction form
    8,197.64/11,316.60 = 5,549.34/x
  3. Step 3: Cross multiply
    8,197.64x = 11,316.60 × 5,549.34
  4. Step 4: Simplify right side
    8,197.64x = 62,799,661.04
  5. Step 5: Solve for x
    x = 62,799,661.04/8,197.64
  6. Step 6: Final answer
    x = 7,660.70

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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.