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Finding the Fourth Proportional to 12,007.86, 18,011.79 and 4,110.48

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Solution

The fourth proportional to 12,007.86, 18,011.79 and 4,110.48 is: 6,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.86 : 18,011.79 = 4,110.48 : x
  2. Step 2: Convert to fraction form
    12,007.86/18,011.79 = 4,110.48/x
  3. Step 3: Cross multiply
    12,007.86x = 18,011.79 × 4,110.48
  4. Step 4: Simplify right side
    12,007.86x = 74,037,114.12
  5. Step 5: Solve for x
    x = 74,037,114.12/12,007.86
  6. Step 6: Final answer
    x = 6,165.72

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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.