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Finding the Fourth Proportional to 10,162.22, 14,026.05 and 6,184.62

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Solution

The fourth proportional to 10,162.22, 14,026.05 and 6,184.62 is: 8,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.22 : 14,026.05 = 6,184.62 : x
  2. Step 2: Convert to fraction form
    10,162.22/14,026.05 = 6,184.62/x
  3. Step 3: Cross multiply
    10,162.22x = 14,026.05 × 6,184.62
  4. Step 4: Simplify right side
    10,162.22x = 86,745,789.35
  5. Step 5: Solve for x
    x = 86,745,789.35/10,162.22
  6. Step 6: Final answer
    x = 8,536.11

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