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Finding the Fourth Proportional to 11,327.91, 15,633.73 and 6,854.12

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Solution

The fourth proportional to 11,327.91, 15,633.73 and 6,854.12 is: 9,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.91 : 15,633.73 = 6,854.12 : x
  2. Step 2: Convert to fraction form
    11,327.91/15,633.73 = 6,854.12/x
  3. Step 3: Cross multiply
    11,327.91x = 15,633.73 × 6,854.12
  4. Step 4: Simplify right side
    11,327.91x = 107,155,509.12
  5. Step 5: Solve for x
    x = 107,155,509.12/11,327.91
  6. Step 6: Final answer
    x = 9,459.43

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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.