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Finding the Fourth Proportional to 10,616.84, 15,926.01 and 3,221.90

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Solution

The fourth proportional to 10,616.84, 15,926.01 and 3,221.90 is: 4,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.84 : 15,926.01 = 3,221.90 : x
  2. Step 2: Convert to fraction form
    10,616.84/15,926.01 = 3,221.90/x
  3. Step 3: Cross multiply
    10,616.84x = 15,926.01 × 3,221.90
  4. Step 4: Simplify right side
    10,616.84x = 51,312,011.62
  5. Step 5: Solve for x
    x = 51,312,011.62/10,616.84
  6. Step 6: Final answer
    x = 4,833.08

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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.