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Finding the Fourth Proportional to 8,042.48, 12,053.96 and 3,415.76

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Solution

The fourth proportional to 8,042.48, 12,053.96 and 3,415.76 is: 5,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.48 : 12,053.96 = 3,415.76 : x
  2. Step 2: Convert to fraction form
    8,042.48/12,053.96 = 3,415.76/x
  3. Step 3: Cross multiply
    8,042.48x = 12,053.96 × 3,415.76
  4. Step 4: Simplify right side
    8,042.48x = 41,173,434.41
  5. Step 5: Solve for x
    x = 41,173,434.41/8,042.48
  6. Step 6: Final answer
    x = 5,119.49

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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.