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Finding the Fourth Proportional to 10,006.24, 14,994 and 3,846.88

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Solution

The fourth proportional to 10,006.24, 14,994 and 3,846.88 is: 5,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.24 : 14,994 = 3,846.88 : x
  2. Step 2: Convert to fraction form
    10,006.24/14,994 = 3,846.88/x
  3. Step 3: Cross multiply
    10,006.24x = 14,994 × 3,846.88
  4. Step 4: Simplify right side
    10,006.24x = 57,680,118.72
  5. Step 5: Solve for x
    x = 57,680,118.72/10,006.24
  6. Step 6: Final answer
    x = 5,764.41

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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.