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Finding the Fourth Proportional to 10,496.70, 15,757.20 and 6,341.40

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Solution

The fourth proportional to 10,496.70, 15,757.20 and 6,341.40 is: 9,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.70 : 15,757.20 = 6,341.40 : x
  2. Step 2: Convert to fraction form
    10,496.70/15,757.20 = 6,341.40/x
  3. Step 3: Cross multiply
    10,496.70x = 15,757.20 × 6,341.40
  4. Step 4: Simplify right side
    10,496.70x = 99,922,708.08
  5. Step 5: Solve for x
    x = 99,922,708.08/10,496.70
  6. Step 6: Final answer
    x = 9,519.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.