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Finding the Fourth Proportional to 7,331.82, 10,994.74 and 2,332.48

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Solution

The fourth proportional to 7,331.82, 10,994.74 and 2,332.48 is: 3,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.82 : 10,994.74 = 2,332.48 : x
  2. Step 2: Convert to fraction form
    7,331.82/10,994.74 = 2,332.48/x
  3. Step 3: Cross multiply
    7,331.82x = 10,994.74 × 2,332.48
  4. Step 4: Simplify right side
    7,331.82x = 25,645,011.16
  5. Step 5: Solve for x
    x = 25,645,011.16/7,331.82
  6. Step 6: Final answer
    x = 3,497.77

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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.