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Finding the Fourth Proportional to 6,997.48, 10,492.56 and 2,066.47

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Solution

The fourth proportional to 6,997.48, 10,492.56 and 2,066.47 is: 3,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.48 : 10,492.56 = 2,066.47 : x
  2. Step 2: Convert to fraction form
    6,997.48/10,492.56 = 2,066.47/x
  3. Step 3: Cross multiply
    6,997.48x = 10,492.56 × 2,066.47
  4. Step 4: Simplify right side
    6,997.48x = 21,682,534.23
  5. Step 5: Solve for x
    x = 21,682,534.23/6,997.48
  6. Step 6: Final answer
    x = 3,098.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.