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Finding the Fourth Proportional to 8,301.10, 12,453.13 and 2,754.77

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Solution

The fourth proportional to 8,301.10, 12,453.13 and 2,754.77 is: 4,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.10 : 12,453.13 = 2,754.77 : x
  2. Step 2: Convert to fraction form
    8,301.10/12,453.13 = 2,754.77/x
  3. Step 3: Cross multiply
    8,301.10x = 12,453.13 × 2,754.77
  4. Step 4: Simplify right side
    8,301.10x = 34,305,533.18
  5. Step 5: Solve for x
    x = 34,305,533.18/8,301.10
  6. Step 6: Final answer
    x = 4,132.65

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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.