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Finding the Fourth Proportional to 8,046.75, 11,102.07 and 5,065.56

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Solution

The fourth proportional to 8,046.75, 11,102.07 and 5,065.56 is: 6,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.75 : 11,102.07 = 5,065.56 : x
  2. Step 2: Convert to fraction form
    8,046.75/11,102.07 = 5,065.56/x
  3. Step 3: Cross multiply
    8,046.75x = 11,102.07 × 5,065.56
  4. Step 4: Simplify right side
    8,046.75x = 56,238,201.71
  5. Step 5: Solve for x
    x = 56,238,201.71/8,046.75
  6. Step 6: Final answer
    x = 6,988.93

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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.