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Finding the Fourth Proportional to 10,402.99, 14,356.18 and 5,687.27

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Solution

The fourth proportional to 10,402.99, 14,356.18 and 5,687.27 is: 7,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.99 : 14,356.18 = 5,687.27 : x
  2. Step 2: Convert to fraction form
    10,402.99/14,356.18 = 5,687.27/x
  3. Step 3: Cross multiply
    10,402.99x = 14,356.18 × 5,687.27
  4. Step 4: Simplify right side
    10,402.99x = 81,647,471.83
  5. Step 5: Solve for x
    x = 81,647,471.83/10,402.99
  6. Step 6: Final answer
    x = 7,848.46

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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.