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Finding the Fourth Proportional to 11,753.65, 17,618.08 and 3,854.10

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Solution

The fourth proportional to 11,753.65, 17,618.08 and 3,854.10 is: 5,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.65 : 17,618.08 = 3,854.10 : x
  2. Step 2: Convert to fraction form
    11,753.65/17,618.08 = 3,854.10/x
  3. Step 3: Cross multiply
    11,753.65x = 17,618.08 × 3,854.10
  4. Step 4: Simplify right side
    11,753.65x = 67,901,842.13
  5. Step 5: Solve for x
    x = 67,901,842.13/11,753.65
  6. Step 6: Final answer
    x = 5,777.09

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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.