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Finding the Fourth Proportional to 10,202.88, 14,066.44 and 6,659.94

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Solution

The fourth proportional to 10,202.88, 14,066.44 and 6,659.94 is: 9,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.88 : 14,066.44 = 6,659.94 : x
  2. Step 2: Convert to fraction form
    10,202.88/14,066.44 = 6,659.94/x
  3. Step 3: Cross multiply
    10,202.88x = 14,066.44 × 6,659.94
  4. Step 4: Simplify right side
    10,202.88x = 93,681,613.11
  5. Step 5: Solve for x
    x = 93,681,613.11/10,202.88
  6. Step 6: Final answer
    x = 9,181.88

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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.