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Finding the Fourth Proportional to 12,103.15, 18,159.89 and 5,867.77

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Solution

The fourth proportional to 12,103.15, 18,159.89 and 5,867.77 is: 8,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.15 : 18,159.89 = 5,867.77 : x
  2. Step 2: Convert to fraction form
    12,103.15/18,159.89 = 5,867.77/x
  3. Step 3: Cross multiply
    12,103.15x = 18,159.89 × 5,867.77
  4. Step 4: Simplify right side
    12,103.15x = 106,558,057.75
  5. Step 5: Solve for x
    x = 106,558,057.75/12,103.15
  6. Step 6: Final answer
    x = 8,804.16

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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.