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Finding the Fourth Proportional to 8,572.06, 11,829.66 and 5,034.56

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Solution

The fourth proportional to 8,572.06, 11,829.66 and 5,034.56 is: 6,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.06 : 11,829.66 = 5,034.56 : x
  2. Step 2: Convert to fraction form
    8,572.06/11,829.66 = 5,034.56/x
  3. Step 3: Cross multiply
    8,572.06x = 11,829.66 × 5,034.56
  4. Step 4: Simplify right side
    8,572.06x = 59,557,133.05
  5. Step 5: Solve for x
    x = 59,557,133.05/8,572.06
  6. Step 6: Final answer
    x = 6,947.82

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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.