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Finding the Fourth Proportional to 10,230.40, 14,117.56 and 5,754.40

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Solution

The fourth proportional to 10,230.40, 14,117.56 and 5,754.40 is: 7,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.40 : 14,117.56 = 5,754.40 : x
  2. Step 2: Convert to fraction form
    10,230.40/14,117.56 = 5,754.40/x
  3. Step 3: Cross multiply
    10,230.40x = 14,117.56 × 5,754.40
  4. Step 4: Simplify right side
    10,230.40x = 81,238,087.26
  5. Step 5: Solve for x
    x = 81,238,087.26/10,230.40
  6. Step 6: Final answer
    x = 7,940.85

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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.