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Finding the Fourth Proportional to 8,340.58, 11,509.95 and 4,563.68

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Solution

The fourth proportional to 8,340.58, 11,509.95 and 4,563.68 is: 6,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.58 : 11,509.95 = 4,563.68 : x
  2. Step 2: Convert to fraction form
    8,340.58/11,509.95 = 4,563.68/x
  3. Step 3: Cross multiply
    8,340.58x = 11,509.95 × 4,563.68
  4. Step 4: Simplify right side
    8,340.58x = 52,527,728.62
  5. Step 5: Solve for x
    x = 52,527,728.62/8,340.58
  6. Step 6: Final answer
    x = 6,297.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.