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Finding the Fourth Proportional to 8,395.56, 12,599 and 3,465.09

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Solution

The fourth proportional to 8,395.56, 12,599 and 3,465.09 is: 5,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.56 : 12,599 = 3,465.09 : x
  2. Step 2: Convert to fraction form
    8,395.56/12,599 = 3,465.09/x
  3. Step 3: Cross multiply
    8,395.56x = 12,599 × 3,465.09
  4. Step 4: Simplify right side
    8,395.56x = 43,656,668.91
  5. Step 5: Solve for x
    x = 43,656,668.91/8,395.56
  6. Step 6: Final answer
    x = 5,199.97

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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.