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Finding the Fourth Proportional to 11,716.12, 17,545.74 and 6,443.08

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Solution

The fourth proportional to 11,716.12, 17,545.74 and 6,443.08 is: 9,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.12 : 17,545.74 = 6,443.08 : x
  2. Step 2: Convert to fraction form
    11,716.12/17,545.74 = 6,443.08/x
  3. Step 3: Cross multiply
    11,716.12x = 17,545.74 × 6,443.08
  4. Step 4: Simplify right side
    11,716.12x = 113,048,606.48
  5. Step 5: Solve for x
    x = 113,048,606.48/11,716.12
  6. Step 6: Final answer
    x = 9,648.98

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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.