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Finding the Fourth Proportional to 6,909.78, 10,356.03 and 3,448.02

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Solution

The fourth proportional to 6,909.78, 10,356.03 and 3,448.02 is: 5,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.78 : 10,356.03 = 3,448.02 : x
  2. Step 2: Convert to fraction form
    6,909.78/10,356.03 = 3,448.02/x
  3. Step 3: Cross multiply
    6,909.78x = 10,356.03 × 3,448.02
  4. Step 4: Simplify right side
    6,909.78x = 35,707,798.56
  5. Step 5: Solve for x
    x = 35,707,798.56/6,909.78
  6. Step 6: Final answer
    x = 5,167.72

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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.