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Finding the Fourth Proportional to 8,185.83, 11,293.02 and 5,040.18

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Solution

The fourth proportional to 8,185.83, 11,293.02 and 5,040.18 is: 6,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.83 : 11,293.02 = 5,040.18 : x
  2. Step 2: Convert to fraction form
    8,185.83/11,293.02 = 5,040.18/x
  3. Step 3: Cross multiply
    8,185.83x = 11,293.02 × 5,040.18
  4. Step 4: Simplify right side
    8,185.83x = 56,918,853.54
  5. Step 5: Solve for x
    x = 56,918,853.54/8,185.83
  6. Step 6: Final answer
    x = 6,953.34

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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.