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Finding the Fourth Proportional to 8,830.40, 13,240.80 and 3,283.52

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Solution

The fourth proportional to 8,830.40, 13,240.80 and 3,283.52 is: 4,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.40 : 13,240.80 = 3,283.52 : x
  2. Step 2: Convert to fraction form
    8,830.40/13,240.80 = 3,283.52/x
  3. Step 3: Cross multiply
    8,830.40x = 13,240.80 × 3,283.52
  4. Step 4: Simplify right side
    8,830.40x = 43,476,431.62
  5. Step 5: Solve for x
    x = 43,476,431.62/8,830.40
  6. Step 6: Final answer
    x = 4,923.50

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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.