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Finding the Fourth Proportional to 8,539.36, 12,796.40 and 4,151.76

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Solution

The fourth proportional to 8,539.36, 12,796.40 and 4,151.76 is: 6,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.36 : 12,796.40 = 4,151.76 : x
  2. Step 2: Convert to fraction form
    8,539.36/12,796.40 = 4,151.76/x
  3. Step 3: Cross multiply
    8,539.36x = 12,796.40 × 4,151.76
  4. Step 4: Simplify right side
    8,539.36x = 53,127,581.66
  5. Step 5: Solve for x
    x = 53,127,581.66/8,539.36
  6. Step 6: Final answer
    x = 6,221.49

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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.