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Finding the Fourth Proportional to 8,386.17, 12,585.00 and 3,455.80

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Solution

The fourth proportional to 8,386.17, 12,585.00 and 3,455.80 is: 5,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.17 : 12,585.00 = 3,455.80 : x
  2. Step 2: Convert to fraction form
    8,386.17/12,585.00 = 3,455.80/x
  3. Step 3: Cross multiply
    8,386.17x = 12,585.00 × 3,455.80
  4. Step 4: Simplify right side
    8,386.17x = 43,491,224.50
  5. Step 5: Solve for x
    x = 43,491,224.50/8,386.17
  6. Step 6: Final answer
    x = 5,186.07

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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.