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Finding the Fourth Proportional to 10,340.88, 14,270.92 and 6,093.20

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Solution

The fourth proportional to 10,340.88, 14,270.92 and 6,093.20 is: 8,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.88 : 14,270.92 = 6,093.20 : x
  2. Step 2: Convert to fraction form
    10,340.88/14,270.92 = 6,093.20/x
  3. Step 3: Cross multiply
    10,340.88x = 14,270.92 × 6,093.20
  4. Step 4: Simplify right side
    10,340.88x = 86,955,569.74
  5. Step 5: Solve for x
    x = 86,955,569.74/10,340.88
  6. Step 6: Final answer
    x = 8,408.91

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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.