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Finding the Fourth Proportional to 8,041, 12,056.32 and 3,359.76

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Solution

The fourth proportional to 8,041, 12,056.32 and 3,359.76 is: 5,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041 : 12,056.32 = 3,359.76 : x
  2. Step 2: Convert to fraction form
    8,041/12,056.32 = 3,359.76/x
  3. Step 3: Cross multiply
    8,041x = 12,056.32 × 3,359.76
  4. Step 4: Simplify right side
    8,041x = 40,506,341.68
  5. Step 5: Solve for x
    x = 40,506,341.68/8,041
  6. Step 6: Final answer
    x = 5,037.48

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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.