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Finding the Fourth Proportional to 10,322.66, 14,251.19 and 6,796.13

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Solution

The fourth proportional to 10,322.66, 14,251.19 and 6,796.13 is: 9,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.66 : 14,251.19 = 6,796.13 : x
  2. Step 2: Convert to fraction form
    10,322.66/14,251.19 = 6,796.13/x
  3. Step 3: Cross multiply
    10,322.66x = 14,251.19 × 6,796.13
  4. Step 4: Simplify right side
    10,322.66x = 96,852,834.66
  5. Step 5: Solve for x
    x = 96,852,834.66/10,322.66
  6. Step 6: Final answer
    x = 9,382.54

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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.