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Finding the Fourth Proportional to 8,215.88, 11,326.10 and 5,853.92

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Solution

The fourth proportional to 8,215.88, 11,326.10 and 5,853.92 is: 8,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.88 : 11,326.10 = 5,853.92 : x
  2. Step 2: Convert to fraction form
    8,215.88/11,326.10 = 5,853.92/x
  3. Step 3: Cross multiply
    8,215.88x = 11,326.10 × 5,853.92
  4. Step 4: Simplify right side
    8,215.88x = 66,302,026.68
  5. Step 5: Solve for x
    x = 66,302,026.68/8,215.88
  6. Step 6: Final answer
    x = 8,069.99

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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.