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Finding the Fourth Proportional to 10,961.04, 16,435.20 and 6,029.48

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Solution

The fourth proportional to 10,961.04, 16,435.20 and 6,029.48 is: 9,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.04 : 16,435.20 = 6,029.48 : x
  2. Step 2: Convert to fraction form
    10,961.04/16,435.20 = 6,029.48/x
  3. Step 3: Cross multiply
    10,961.04x = 16,435.20 × 6,029.48
  4. Step 4: Simplify right side
    10,961.04x = 99,095,709.70
  5. Step 5: Solve for x
    x = 99,095,709.70/10,961.04
  6. Step 6: Final answer
    x = 9,040.72

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Why These Related Problems?

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