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Finding the Fourth Proportional to 8,360.76, 12,541.77 and 2,814.12

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Solution

The fourth proportional to 8,360.76, 12,541.77 and 2,814.12 is: 4,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.76 : 12,541.77 = 2,814.12 : x
  2. Step 2: Convert to fraction form
    8,360.76/12,541.77 = 2,814.12/x
  3. Step 3: Cross multiply
    8,360.76x = 12,541.77 × 2,814.12
  4. Step 4: Simplify right side
    8,360.76x = 35,294,045.79
  5. Step 5: Solve for x
    x = 35,294,045.79/8,360.76
  6. Step 6: Final answer
    x = 4,221.39

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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.