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Finding the Fourth Proportional to 8,283.88, 12,430.14 and 3,357.16

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Solution

The fourth proportional to 8,283.88, 12,430.14 and 3,357.16 is: 5,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.88 : 12,430.14 = 3,357.16 : x
  2. Step 2: Convert to fraction form
    8,283.88/12,430.14 = 3,357.16/x
  3. Step 3: Cross multiply
    8,283.88x = 12,430.14 × 3,357.16
  4. Step 4: Simplify right side
    8,283.88x = 41,729,968.80
  5. Step 5: Solve for x
    x = 41,729,968.80/8,283.88
  6. Step 6: Final answer
    x = 5,037.49

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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.