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Finding the Fourth Proportional to 10,975.04, 16,466.25 and 3,479.82

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Solution

The fourth proportional to 10,975.04, 16,466.25 and 3,479.82 is: 5,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.04 : 16,466.25 = 3,479.82 : x
  2. Step 2: Convert to fraction form
    10,975.04/16,466.25 = 3,479.82/x
  3. Step 3: Cross multiply
    10,975.04x = 16,466.25 × 3,479.82
  4. Step 4: Simplify right side
    10,975.04x = 57,299,630.00
  5. Step 5: Solve for x
    x = 57,299,630.00/10,975.04
  6. Step 6: Final answer
    x = 5,220.90

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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.