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Finding the Fourth Proportional to 8,585.06, 11,846.52 and 4,999.19

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Solution

The fourth proportional to 8,585.06, 11,846.52 and 4,999.19 is: 6,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.06 : 11,846.52 = 4,999.19 : x
  2. Step 2: Convert to fraction form
    8,585.06/11,846.52 = 4,999.19/x
  3. Step 3: Cross multiply
    8,585.06x = 11,846.52 × 4,999.19
  4. Step 4: Simplify right side
    8,585.06x = 59,222,945.09
  5. Step 5: Solve for x
    x = 59,222,945.09/8,585.06
  6. Step 6: Final answer
    x = 6,898.38

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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.