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Finding the Fourth Proportional to 10,974.94, 15,152.34 and 7,616.68

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Solution

The fourth proportional to 10,974.94, 15,152.34 and 7,616.68 is: 10,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.94 : 15,152.34 = 7,616.68 : x
  2. Step 2: Convert to fraction form
    10,974.94/15,152.34 = 7,616.68/x
  3. Step 3: Cross multiply
    10,974.94x = 15,152.34 × 7,616.68
  4. Step 4: Simplify right side
    10,974.94x = 115,410,525.03
  5. Step 5: Solve for x
    x = 115,410,525.03/10,974.94
  6. Step 6: Final answer
    x = 10,515.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.