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Finding the Fourth Proportional to 8,283.20, 11,430.84 and 4,506.39

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Solution

The fourth proportional to 8,283.20, 11,430.84 and 4,506.39 is: 6,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.20 : 11,430.84 = 4,506.39 : x
  2. Step 2: Convert to fraction form
    8,283.20/11,430.84 = 4,506.39/x
  3. Step 3: Cross multiply
    8,283.20x = 11,430.84 × 4,506.39
  4. Step 4: Simplify right side
    8,283.20x = 51,511,823.07
  5. Step 5: Solve for x
    x = 51,511,823.07/8,283.20
  6. Step 6: Final answer
    x = 6,218.84

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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.