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Finding the Fourth Proportional to 8,186.98, 11,298.06 and 4,650.22

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Solution

The fourth proportional to 8,186.98, 11,298.06 and 4,650.22 is: 6,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.98 : 11,298.06 = 4,650.22 : x
  2. Step 2: Convert to fraction form
    8,186.98/11,298.06 = 4,650.22/x
  3. Step 3: Cross multiply
    8,186.98x = 11,298.06 × 4,650.22
  4. Step 4: Simplify right side
    8,186.98x = 52,538,464.57
  5. Step 5: Solve for x
    x = 52,538,464.57/8,186.98
  6. Step 6: Final answer
    x = 6,417.32

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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.