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Finding the Fourth Proportional to 11,726.77, 16,182.99 and 6,422.08

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Solution

The fourth proportional to 11,726.77, 16,182.99 and 6,422.08 is: 8,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.77 : 16,182.99 = 6,422.08 : x
  2. Step 2: Convert to fraction form
    11,726.77/16,182.99 = 6,422.08/x
  3. Step 3: Cross multiply
    11,726.77x = 16,182.99 × 6,422.08
  4. Step 4: Simplify right side
    11,726.77x = 103,928,456.42
  5. Step 5: Solve for x
    x = 103,928,456.42/11,726.77
  6. Step 6: Final answer
    x = 8,862.50

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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.