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Finding the Fourth Proportional to 10,557.84, 15,834.06 and 3,982.08

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Solution

The fourth proportional to 10,557.84, 15,834.06 and 3,982.08 is: 5,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.84 : 15,834.06 = 3,982.08 : x
  2. Step 2: Convert to fraction form
    10,557.84/15,834.06 = 3,982.08/x
  3. Step 3: Cross multiply
    10,557.84x = 15,834.06 × 3,982.08
  4. Step 4: Simplify right side
    10,557.84x = 63,052,493.64
  5. Step 5: Solve for x
    x = 63,052,493.64/10,557.84
  6. Step 6: Final answer
    x = 5,972.10

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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.