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Finding the Fourth Proportional to 10,609.83, 15,917.13 and 3,214.35

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Solution

The fourth proportional to 10,609.83, 15,917.13 and 3,214.35 is: 4,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.83 : 15,917.13 = 3,214.35 : x
  2. Step 2: Convert to fraction form
    10,609.83/15,917.13 = 3,214.35/x
  3. Step 3: Cross multiply
    10,609.83x = 15,917.13 × 3,214.35
  4. Step 4: Simplify right side
    10,609.83x = 51,163,226.82
  5. Step 5: Solve for x
    x = 51,163,226.82/10,609.83
  6. Step 6: Final answer
    x = 4,822.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.