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Finding the Fourth Proportional to 8,395.83, 12,596.22 and 3,465.75

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Solution

The fourth proportional to 8,395.83, 12,596.22 and 3,465.75 is: 5,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.83 : 12,596.22 = 3,465.75 : x
  2. Step 2: Convert to fraction form
    8,395.83/12,596.22 = 3,465.75/x
  3. Step 3: Cross multiply
    8,395.83x = 12,596.22 × 3,465.75
  4. Step 4: Simplify right side
    8,395.83x = 43,655,349.47
  5. Step 5: Solve for x
    x = 43,655,349.47/8,395.83
  6. Step 6: Final answer
    x = 5,199.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.