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Finding the Fourth Proportional to 8,107.68, 11,190.72 and 5,282.10

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Solution

The fourth proportional to 8,107.68, 11,190.72 and 5,282.10 is: 7,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.68 : 11,190.72 = 5,282.10 : x
  2. Step 2: Convert to fraction form
    8,107.68/11,190.72 = 5,282.10/x
  3. Step 3: Cross multiply
    8,107.68x = 11,190.72 × 5,282.10
  4. Step 4: Simplify right side
    8,107.68x = 59,110,502.11
  5. Step 5: Solve for x
    x = 59,110,502.11/8,107.68
  6. Step 6: Final answer
    x = 7,290.68

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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.