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Finding the Fourth Proportional to 8,291.48, 12,428.46 and 2,743.40

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Solution

The fourth proportional to 8,291.48, 12,428.46 and 2,743.40 is: 4,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.48 : 12,428.46 = 2,743.40 : x
  2. Step 2: Convert to fraction form
    8,291.48/12,428.46 = 2,743.40/x
  3. Step 3: Cross multiply
    8,291.48x = 12,428.46 × 2,743.40
  4. Step 4: Simplify right side
    8,291.48x = 34,096,237.16
  5. Step 5: Solve for x
    x = 34,096,237.16/8,291.48
  6. Step 6: Final answer
    x = 4,112.20

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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.