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Finding the Fourth Proportional to 11,913.66, 17,872.47 and 4,120.65

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Solution

The fourth proportional to 11,913.66, 17,872.47 and 4,120.65 is: 6,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.66 : 17,872.47 = 4,120.65 : x
  2. Step 2: Convert to fraction form
    11,913.66/17,872.47 = 4,120.65/x
  3. Step 3: Cross multiply
    11,913.66x = 17,872.47 × 4,120.65
  4. Step 4: Simplify right side
    11,913.66x = 73,646,193.51
  5. Step 5: Solve for x
    x = 73,646,193.51/11,913.66
  6. Step 6: Final answer
    x = 6,181.66

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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.