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Finding the Fourth Proportional to 10,230.50, 14,116.88 and 5,754.02

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Solution

The fourth proportional to 10,230.50, 14,116.88 and 5,754.02 is: 7,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.50 : 14,116.88 = 5,754.02 : x
  2. Step 2: Convert to fraction form
    10,230.50/14,116.88 = 5,754.02/x
  3. Step 3: Cross multiply
    10,230.50x = 14,116.88 × 5,754.02
  4. Step 4: Simplify right side
    10,230.50x = 81,228,809.86
  5. Step 5: Solve for x
    x = 81,228,809.86/10,230.50
  6. Step 6: Final answer
    x = 7,939.87

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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.