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Finding the Fourth Proportional to 8,197.07, 11,317.13 and 5,678.27

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Solution

The fourth proportional to 8,197.07, 11,317.13 and 5,678.27 is: 7,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.07 : 11,317.13 = 5,678.27 : x
  2. Step 2: Convert to fraction form
    8,197.07/11,317.13 = 5,678.27/x
  3. Step 3: Cross multiply
    8,197.07x = 11,317.13 × 5,678.27
  4. Step 4: Simplify right side
    8,197.07x = 64,261,719.77
  5. Step 5: Solve for x
    x = 64,261,719.77/8,197.07
  6. Step 6: Final answer
    x = 7,839.60

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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.