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Finding the Fourth Proportional to 10,019.97, 15,043.86 and 6,311.25

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Solution

The fourth proportional to 10,019.97, 15,043.86 and 6,311.25 is: 9,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.97 : 15,043.86 = 6,311.25 : x
  2. Step 2: Convert to fraction form
    10,019.97/15,043.86 = 6,311.25/x
  3. Step 3: Cross multiply
    10,019.97x = 15,043.86 × 6,311.25
  4. Step 4: Simplify right side
    10,019.97x = 94,945,561.43
  5. Step 5: Solve for x
    x = 94,945,561.43/10,019.97
  6. Step 6: Final answer
    x = 9,475.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.