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Finding the Fourth Proportional to 10,388.70, 14,335.92 and 6,410.22

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Solution

The fourth proportional to 10,388.70, 14,335.92 and 6,410.22 is: 8,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.70 : 14,335.92 = 6,410.22 : x
  2. Step 2: Convert to fraction form
    10,388.70/14,335.92 = 6,410.22/x
  3. Step 3: Cross multiply
    10,388.70x = 14,335.92 × 6,410.22
  4. Step 4: Simplify right side
    10,388.70x = 91,896,401.10
  5. Step 5: Solve for x
    x = 91,896,401.10/10,388.70
  6. Step 6: Final answer
    x = 8,845.80

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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.