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Finding the Fourth Proportional to 11,752.65, 17,616.59 and 3,853.10

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Solution

The fourth proportional to 11,752.65, 17,616.59 and 3,853.10 is: 5,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.65 : 17,616.59 = 3,853.10 : x
  2. Step 2: Convert to fraction form
    11,752.65/17,616.59 = 3,853.10/x
  3. Step 3: Cross multiply
    11,752.65x = 17,616.59 × 3,853.10
  4. Step 4: Simplify right side
    11,752.65x = 67,878,463.66
  5. Step 5: Solve for x
    x = 67,878,463.66/11,752.65
  6. Step 6: Final answer
    x = 5,775.59

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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.