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Finding the Fourth Proportional to 10,674.32, 14,734.76 and 7,136.24

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Solution

The fourth proportional to 10,674.32, 14,734.76 and 7,136.24 is: 9,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.32 : 14,734.76 = 7,136.24 : x
  2. Step 2: Convert to fraction form
    10,674.32/14,734.76 = 7,136.24/x
  3. Step 3: Cross multiply
    10,674.32x = 14,734.76 × 7,136.24
  4. Step 4: Simplify right side
    10,674.32x = 105,150,783.70
  5. Step 5: Solve for x
    x = 105,150,783.70/10,674.32
  6. Step 6: Final answer
    x = 9,850.82

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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.