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Finding the Fourth Proportional to 6,864.66, 10,295.42 and 4,092.12

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Solution

The fourth proportional to 6,864.66, 10,295.42 and 4,092.12 is: 6,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.66 : 10,295.42 = 4,092.12 : x
  2. Step 2: Convert to fraction form
    6,864.66/10,295.42 = 4,092.12/x
  3. Step 3: Cross multiply
    6,864.66x = 10,295.42 × 4,092.12
  4. Step 4: Simplify right side
    6,864.66x = 42,130,073.63
  5. Step 5: Solve for x
    x = 42,130,073.63/6,864.66
  6. Step 6: Final answer
    x = 6,137.24

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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.