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Finding the Fourth Proportional to 10,490.86, 14,474.12 and 5,952.79

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Solution

The fourth proportional to 10,490.86, 14,474.12 and 5,952.79 is: 8,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.86 : 14,474.12 = 5,952.79 : x
  2. Step 2: Convert to fraction form
    10,490.86/14,474.12 = 5,952.79/x
  3. Step 3: Cross multiply
    10,490.86x = 14,474.12 × 5,952.79
  4. Step 4: Simplify right side
    10,490.86x = 86,161,345.73
  5. Step 5: Solve for x
    x = 86,161,345.73/10,490.86
  6. Step 6: Final answer
    x = 8,212.99

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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.