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Finding the Fourth Proportional to 10,393.29, 14,340.82 and 6,145.04

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Solution

The fourth proportional to 10,393.29, 14,340.82 and 6,145.04 is: 8,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.29 : 14,340.82 = 6,145.04 : x
  2. Step 2: Convert to fraction form
    10,393.29/14,340.82 = 6,145.04/x
  3. Step 3: Cross multiply
    10,393.29x = 14,340.82 × 6,145.04
  4. Step 4: Simplify right side
    10,393.29x = 88,124,912.53
  5. Step 5: Solve for x
    x = 88,124,912.53/10,393.29
  6. Step 6: Final answer
    x = 8,479.02

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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.