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Finding the Fourth Proportional to 10,230.37, 14,117.99 and 5,754.08

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Solution

The fourth proportional to 10,230.37, 14,117.99 and 5,754.08 is: 7,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.37 : 14,117.99 = 5,754.08 : x
  2. Step 2: Convert to fraction form
    10,230.37/14,117.99 = 5,754.08/x
  3. Step 3: Cross multiply
    10,230.37x = 14,117.99 × 5,754.08
  4. Step 4: Simplify right side
    10,230.37x = 81,236,050.42
  5. Step 5: Solve for x
    x = 81,236,050.42/10,230.37
  6. Step 6: Final answer
    x = 7,940.68

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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.