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Finding the Fourth Proportional to 10,716.50, 14,793.90 and 7,137.41

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Solution

The fourth proportional to 10,716.50, 14,793.90 and 7,137.41 is: 9,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.50 : 14,793.90 = 7,137.41 : x
  2. Step 2: Convert to fraction form
    10,716.50/14,793.90 = 7,137.41/x
  3. Step 3: Cross multiply
    10,716.50x = 14,793.90 × 7,137.41
  4. Step 4: Simplify right side
    10,716.50x = 105,590,166.78
  5. Step 5: Solve for x
    x = 105,590,166.78/10,716.50
  6. Step 6: Final answer
    x = 9,853.04

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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.