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Finding the Fourth Proportional to 8,442.77, 11,644.79 and 7,486.83

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Solution

The fourth proportional to 8,442.77, 11,644.79 and 7,486.83 is: 10,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.77 : 11,644.79 = 7,486.83 : x
  2. Step 2: Convert to fraction form
    8,442.77/11,644.79 = 7,486.83/x
  3. Step 3: Cross multiply
    8,442.77x = 11,644.79 × 7,486.83
  4. Step 4: Simplify right side
    8,442.77x = 87,182,525.68
  5. Step 5: Solve for x
    x = 87,182,525.68/8,442.77
  6. Step 6: Final answer
    x = 10,326.30

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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.