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Finding the Fourth Proportional to 10,199.36, 15,269.32 and 7,578.49

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Solution

The fourth proportional to 10,199.36, 15,269.32 and 7,578.49 is: 11,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.36 : 15,269.32 = 7,578.49 : x
  2. Step 2: Convert to fraction form
    10,199.36/15,269.32 = 7,578.49/x
  3. Step 3: Cross multiply
    10,199.36x = 15,269.32 × 7,578.49
  4. Step 4: Simplify right side
    10,199.36x = 115,718,356.57
  5. Step 5: Solve for x
    x = 115,718,356.57/10,199.36
  6. Step 6: Final answer
    x = 11,345.65

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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.