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Finding the Fourth Proportional to 10,894.48, 16,339.75 and 2,889.30

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Solution

The fourth proportional to 10,894.48, 16,339.75 and 2,889.30 is: 4,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.48 : 16,339.75 = 2,889.30 : x
  2. Step 2: Convert to fraction form
    10,894.48/16,339.75 = 2,889.30/x
  3. Step 3: Cross multiply
    10,894.48x = 16,339.75 × 2,889.30
  4. Step 4: Simplify right side
    10,894.48x = 47,210,439.68
  5. Step 5: Solve for x
    x = 47,210,439.68/10,894.48
  6. Step 6: Final answer
    x = 4,333.43

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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.