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Finding the Fourth Proportional to 10,643.74, 14,687.31 and 5,928.46

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Solution

The fourth proportional to 10,643.74, 14,687.31 and 5,928.46 is: 8,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.74 : 14,687.31 = 5,928.46 : x
  2. Step 2: Convert to fraction form
    10,643.74/14,687.31 = 5,928.46/x
  3. Step 3: Cross multiply
    10,643.74x = 14,687.31 × 5,928.46
  4. Step 4: Simplify right side
    10,643.74x = 87,073,129.84
  5. Step 5: Solve for x
    x = 87,073,129.84/10,643.74
  6. Step 6: Final answer
    x = 8,180.69

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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.