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Finding the Fourth Proportional to 8,340.90, 11,511.66 and 4,803.42

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Solution

The fourth proportional to 8,340.90, 11,511.66 and 4,803.42 is: 6,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.90 : 11,511.66 = 4,803.42 : x
  2. Step 2: Convert to fraction form
    8,340.90/11,511.66 = 4,803.42/x
  3. Step 3: Cross multiply
    8,340.90x = 11,511.66 × 4,803.42
  4. Step 4: Simplify right side
    8,340.90x = 55,295,337.88
  5. Step 5: Solve for x
    x = 55,295,337.88/8,340.90
  6. Step 6: Final answer
    x = 6,629.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.