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Finding the Fourth Proportional to 10,410.41, 14,367.93 and 6,635.25

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Solution

The fourth proportional to 10,410.41, 14,367.93 and 6,635.25 is: 9,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.41 : 14,367.93 = 6,635.25 : x
  2. Step 2: Convert to fraction form
    10,410.41/14,367.93 = 6,635.25/x
  3. Step 3: Cross multiply
    10,410.41x = 14,367.93 × 6,635.25
  4. Step 4: Simplify right side
    10,410.41x = 95,334,819.97
  5. Step 5: Solve for x
    x = 95,334,819.97/10,410.41
  6. Step 6: Final answer
    x = 9,157.65

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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.