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Finding the Fourth Proportional to 6,908.34, 10,362.45 and 4,135.78

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Solution

The fourth proportional to 6,908.34, 10,362.45 and 4,135.78 is: 6,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.34 : 10,362.45 = 4,135.78 : x
  2. Step 2: Convert to fraction form
    6,908.34/10,362.45 = 4,135.78/x
  3. Step 3: Cross multiply
    6,908.34x = 10,362.45 × 4,135.78
  4. Step 4: Simplify right side
    6,908.34x = 42,856,813.46
  5. Step 5: Solve for x
    x = 42,856,813.46/6,908.34
  6. Step 6: Final answer
    x = 6,203.64

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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.