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Finding the Fourth Proportional to 10,079.70, 13,911.41 and 7,256.43

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Solution

The fourth proportional to 10,079.70, 13,911.41 and 7,256.43 is: 10,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.70 : 13,911.41 = 7,256.43 : x
  2. Step 2: Convert to fraction form
    10,079.70/13,911.41 = 7,256.43/x
  3. Step 3: Cross multiply
    10,079.70x = 13,911.41 × 7,256.43
  4. Step 4: Simplify right side
    10,079.70x = 100,947,136.58
  5. Step 5: Solve for x
    x = 100,947,136.58/10,079.70
  6. Step 6: Final answer
    x = 10,014.89

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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.