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Finding the Fourth Proportional to 10,687.46, 14,742.15 and 6,904.49

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Solution

The fourth proportional to 10,687.46, 14,742.15 and 6,904.49 is: 9,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.46 : 14,742.15 = 6,904.49 : x
  2. Step 2: Convert to fraction form
    10,687.46/14,742.15 = 6,904.49/x
  3. Step 3: Cross multiply
    10,687.46x = 14,742.15 × 6,904.49
  4. Step 4: Simplify right side
    10,687.46x = 101,787,027.25
  5. Step 5: Solve for x
    x = 101,787,027.25/10,687.46
  6. Step 6: Final answer
    x = 9,523.97

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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.