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Finding the Fourth Proportional to 8,089.70, 11,162.48 and 5,107.14

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Solution

The fourth proportional to 8,089.70, 11,162.48 and 5,107.14 is: 7,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.70 : 11,162.48 = 5,107.14 : x
  2. Step 2: Convert to fraction form
    8,089.70/11,162.48 = 5,107.14/x
  3. Step 3: Cross multiply
    8,089.70x = 11,162.48 × 5,107.14
  4. Step 4: Simplify right side
    8,089.70x = 57,008,322.57
  5. Step 5: Solve for x
    x = 57,008,322.57/8,089.70
  6. Step 6: Final answer
    x = 7,047.03

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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.