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Finding the Fourth Proportional to 8,340.87, 12,509.13 and 3,409.59

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Solution

The fourth proportional to 8,340.87, 12,509.13 and 3,409.59 is: 5,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.87 : 12,509.13 = 3,409.59 : x
  2. Step 2: Convert to fraction form
    8,340.87/12,509.13 = 3,409.59/x
  3. Step 3: Cross multiply
    8,340.87x = 12,509.13 × 3,409.59
  4. Step 4: Simplify right side
    8,340.87x = 42,651,004.56
  5. Step 5: Solve for x
    x = 42,651,004.56/8,340.87
  6. Step 6: Final answer
    x = 5,113.50

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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.