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Finding the Fourth Proportional to 8,395.86, 12,596.91 and 3,465.93

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Solution

The fourth proportional to 8,395.86, 12,596.91 and 3,465.93 is: 5,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.86 : 12,596.91 = 3,465.93 : x
  2. Step 2: Convert to fraction form
    8,395.86/12,596.91 = 3,465.93/x
  3. Step 3: Cross multiply
    8,395.86x = 12,596.91 × 3,465.93
  4. Step 4: Simplify right side
    8,395.86x = 43,660,008.28
  5. Step 5: Solve for x
    x = 43,660,008.28/8,395.86
  6. Step 6: Final answer
    x = 5,200.18

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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.