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Finding the Fourth Proportional to 8,393.62, 12,586.30 and 3,465.70

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Solution

The fourth proportional to 8,393.62, 12,586.30 and 3,465.70 is: 5,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.62 : 12,586.30 = 3,465.70 : x
  2. Step 2: Convert to fraction form
    8,393.62/12,586.30 = 3,465.70/x
  3. Step 3: Cross multiply
    8,393.62x = 12,586.30 × 3,465.70
  4. Step 4: Simplify right side
    8,393.62x = 43,620,339.91
  5. Step 5: Solve for x
    x = 43,620,339.91/8,393.62
  6. Step 6: Final answer
    x = 5,196.84

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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.