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Finding the Fourth Proportional to 8,417.70, 12,613.59 and 3,486.42

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Solution

The fourth proportional to 8,417.70, 12,613.59 and 3,486.42 is: 5,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.70 : 12,613.59 = 3,486.42 : x
  2. Step 2: Convert to fraction form
    8,417.70/12,613.59 = 3,486.42/x
  3. Step 3: Cross multiply
    8,417.70x = 12,613.59 × 3,486.42
  4. Step 4: Simplify right side
    8,417.70x = 43,976,272.45
  5. Step 5: Solve for x
    x = 43,976,272.45/8,417.70
  6. Step 6: Final answer
    x = 5,224.26

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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.