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Finding the Fourth Proportional to 10,982.47, 16,476.14 and 6,049.57

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Solution

The fourth proportional to 10,982.47, 16,476.14 and 6,049.57 is: 9,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.47 : 16,476.14 = 6,049.57 : x
  2. Step 2: Convert to fraction form
    10,982.47/16,476.14 = 6,049.57/x
  3. Step 3: Cross multiply
    10,982.47x = 16,476.14 × 6,049.57
  4. Step 4: Simplify right side
    10,982.47x = 99,673,562.26
  5. Step 5: Solve for x
    x = 99,673,562.26/10,982.47
  6. Step 6: Final answer
    x = 9,075.70

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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.