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Finding the Fourth Proportional to 8,585.49, 11,850 and 5,596.11

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Solution

The fourth proportional to 8,585.49, 11,850 and 5,596.11 is: 7,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.49 : 11,850 = 5,596.11 : x
  2. Step 2: Convert to fraction form
    8,585.49/11,850 = 5,596.11/x
  3. Step 3: Cross multiply
    8,585.49x = 11,850 × 5,596.11
  4. Step 4: Simplify right side
    8,585.49x = 66,313,903.50
  5. Step 5: Solve for x
    x = 66,313,903.50/8,585.49
  6. Step 6: Final answer
    x = 7,723.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.