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Finding the Fourth Proportional to 10,231.84, 15,347.52 and 3,306.40

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Solution

The fourth proportional to 10,231.84, 15,347.52 and 3,306.40 is: 4,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.84 : 15,347.52 = 3,306.40 : x
  2. Step 2: Convert to fraction form
    10,231.84/15,347.52 = 3,306.40/x
  3. Step 3: Cross multiply
    10,231.84x = 15,347.52 × 3,306.40
  4. Step 4: Simplify right side
    10,231.84x = 50,745,040.13
  5. Step 5: Solve for x
    x = 50,745,040.13/10,231.84
  6. Step 6: Final answer
    x = 4,959.52

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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.