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Finding the Fourth Proportional to 8,386.62, 12,585.59 and 3,456.15

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Solution

The fourth proportional to 8,386.62, 12,585.59 and 3,456.15 is: 5,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.62 : 12,585.59 = 3,456.15 : x
  2. Step 2: Convert to fraction form
    8,386.62/12,585.59 = 3,456.15/x
  3. Step 3: Cross multiply
    8,386.62x = 12,585.59 × 3,456.15
  4. Step 4: Simplify right side
    8,386.62x = 43,497,653.87
  5. Step 5: Solve for x
    x = 43,497,653.87/8,386.62
  6. Step 6: Final answer
    x = 5,186.55

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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.