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Finding the Fourth Proportional to 7,578.40, 11,371.04 and 3,416.12

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Solution

The fourth proportional to 7,578.40, 11,371.04 and 3,416.12 is: 5,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.40 : 11,371.04 = 3,416.12 : x
  2. Step 2: Convert to fraction form
    7,578.40/11,371.04 = 3,416.12/x
  3. Step 3: Cross multiply
    7,578.40x = 11,371.04 × 3,416.12
  4. Step 4: Simplify right side
    7,578.40x = 38,844,837.16
  5. Step 5: Solve for x
    x = 38,844,837.16/7,578.40
  6. Step 6: Final answer
    x = 5,125.73

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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.