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Finding the Fourth Proportional to 11,846, 17,772.48 and 3,526.08

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Solution

The fourth proportional to 11,846, 17,772.48 and 3,526.08 is: 5,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846 : 17,772.48 = 3,526.08 : x
  2. Step 2: Convert to fraction form
    11,846/17,772.48 = 3,526.08/x
  3. Step 3: Cross multiply
    11,846x = 17,772.48 × 3,526.08
  4. Step 4: Simplify right side
    11,846x = 62,667,186.28
  5. Step 5: Solve for x
    x = 62,667,186.28/11,846
  6. Step 6: Final answer
    x = 5,290.16

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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.