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Finding the Fourth Proportional to 8,803, 13,205.14 and 2,959.48

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Solution

The fourth proportional to 8,803, 13,205.14 and 2,959.48 is: 4,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803 : 13,205.14 = 2,959.48 : x
  2. Step 2: Convert to fraction form
    8,803/13,205.14 = 2,959.48/x
  3. Step 3: Cross multiply
    8,803x = 13,205.14 × 2,959.48
  4. Step 4: Simplify right side
    8,803x = 39,080,347.73
  5. Step 5: Solve for x
    x = 39,080,347.73/8,803
  6. Step 6: Final answer
    x = 4,439.44

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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.