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Finding the Fourth Proportional to 10,982.70, 15,156.16 and 5,946.99

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Solution

The fourth proportional to 10,982.70, 15,156.16 and 5,946.99 is: 8,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.70 : 15,156.16 = 5,946.99 : x
  2. Step 2: Convert to fraction form
    10,982.70/15,156.16 = 5,946.99/x
  3. Step 3: Cross multiply
    10,982.70x = 15,156.16 × 5,946.99
  4. Step 4: Simplify right side
    10,982.70x = 90,133,531.96
  5. Step 5: Solve for x
    x = 90,133,531.96/10,982.70
  6. Step 6: Final answer
    x = 8,206.86

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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.