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Finding the Fourth Proportional to 11,406.80, 17,097.85 and 4,837.57

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Solution

The fourth proportional to 11,406.80, 17,097.85 and 4,837.57 is: 7,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.80 : 17,097.85 = 4,837.57 : x
  2. Step 2: Convert to fraction form
    11,406.80/17,097.85 = 4,837.57/x
  3. Step 3: Cross multiply
    11,406.80x = 17,097.85 × 4,837.57
  4. Step 4: Simplify right side
    11,406.80x = 82,712,046.22
  5. Step 5: Solve for x
    x = 82,712,046.22/11,406.80
  6. Step 6: Final answer
    x = 7,251.12

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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.