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Finding the Fourth Proportional to 8,041.50, 12,053.88 and 3,364.20

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Solution

The fourth proportional to 8,041.50, 12,053.88 and 3,364.20 is: 5,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.50 : 12,053.88 = 3,364.20 : x
  2. Step 2: Convert to fraction form
    8,041.50/12,053.88 = 3,364.20/x
  3. Step 3: Cross multiply
    8,041.50x = 12,053.88 × 3,364.20
  4. Step 4: Simplify right side
    8,041.50x = 40,551,663.10
  5. Step 5: Solve for x
    x = 40,551,663.10/8,041.50
  6. Step 6: Final answer
    x = 5,042.80

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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.