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Finding the Fourth Proportional to 7,712.01, 11,574.50 and 6,182.73

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Solution

The fourth proportional to 7,712.01, 11,574.50 and 6,182.73 is: 9,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.01 : 11,574.50 = 6,182.73 : x
  2. Step 2: Convert to fraction form
    7,712.01/11,574.50 = 6,182.73/x
  3. Step 3: Cross multiply
    7,712.01x = 11,574.50 × 6,182.73
  4. Step 4: Simplify right side
    7,712.01x = 71,561,977.47
  5. Step 5: Solve for x
    x = 71,561,977.47/7,712.01
  6. Step 6: Final answer
    x = 9,279.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.