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Finding the Fourth Proportional to 10,707.84, 14,777.28 and 6,233.04

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Solution

The fourth proportional to 10,707.84, 14,777.28 and 6,233.04 is: 8,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.84 : 14,777.28 = 6,233.04 : x
  2. Step 2: Convert to fraction form
    10,707.84/14,777.28 = 6,233.04/x
  3. Step 3: Cross multiply
    10,707.84x = 14,777.28 × 6,233.04
  4. Step 4: Simplify right side
    10,707.84x = 92,107,377.33
  5. Step 5: Solve for x
    x = 92,107,377.33/10,707.84
  6. Step 6: Final answer
    x = 8,601.86

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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.