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Finding the Fourth Proportional to 8,301.76, 12,454.97 and 4,140.65

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Solution

The fourth proportional to 8,301.76, 12,454.97 and 4,140.65 is: 6,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.76 : 12,454.97 = 4,140.65 : x
  2. Step 2: Convert to fraction form
    8,301.76/12,454.97 = 4,140.65/x
  3. Step 3: Cross multiply
    8,301.76x = 12,454.97 × 4,140.65
  4. Step 4: Simplify right side
    8,301.76x = 51,571,681.96
  5. Step 5: Solve for x
    x = 51,571,681.96/8,301.76
  6. Step 6: Final answer
    x = 6,212.14

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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.