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Finding the Fourth Proportional to 7,261.84, 10,892.54 and 2,331.46

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Solution

The fourth proportional to 7,261.84, 10,892.54 and 2,331.46 is: 3,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.84 : 10,892.54 = 2,331.46 : x
  2. Step 2: Convert to fraction form
    7,261.84/10,892.54 = 2,331.46/x
  3. Step 3: Cross multiply
    7,261.84x = 10,892.54 × 2,331.46
  4. Step 4: Simplify right side
    7,261.84x = 25,395,521.31
  5. Step 5: Solve for x
    x = 25,395,521.31/7,261.84
  6. Step 6: Final answer
    x = 3,497.12

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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.