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Finding the Fourth Proportional to 10,810.74, 14,918.91 and 6,334.62

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Solution

The fourth proportional to 10,810.74, 14,918.91 and 6,334.62 is: 8,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.74 : 14,918.91 = 6,334.62 : x
  2. Step 2: Convert to fraction form
    10,810.74/14,918.91 = 6,334.62/x
  3. Step 3: Cross multiply
    10,810.74x = 14,918.91 × 6,334.62
  4. Step 4: Simplify right side
    10,810.74x = 94,505,625.66
  5. Step 5: Solve for x
    x = 94,505,625.66/10,810.74
  6. Step 6: Final answer
    x = 8,741.83

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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.