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Finding the Fourth Proportional to 10,193.58, 14,066.82 and 6,213.24

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Solution

The fourth proportional to 10,193.58, 14,066.82 and 6,213.24 is: 8,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.58 : 14,066.82 = 6,213.24 : x
  2. Step 2: Convert to fraction form
    10,193.58/14,066.82 = 6,213.24/x
  3. Step 3: Cross multiply
    10,193.58x = 14,066.82 × 6,213.24
  4. Step 4: Simplify right side
    10,193.58x = 87,400,528.70
  5. Step 5: Solve for x
    x = 87,400,528.70/10,193.58
  6. Step 6: Final answer
    x = 8,574.08

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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.