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Finding the Fourth Proportional to 10,213.60, 14,094.24 and 5,737.54

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Solution

The fourth proportional to 10,213.60, 14,094.24 and 5,737.54 is: 7,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.60 : 14,094.24 = 5,737.54 : x
  2. Step 2: Convert to fraction form
    10,213.60/14,094.24 = 5,737.54/x
  3. Step 3: Cross multiply
    10,213.60x = 14,094.24 × 5,737.54
  4. Step 4: Simplify right side
    10,213.60x = 80,866,265.77
  5. Step 5: Solve for x
    x = 80,866,265.77/10,213.60
  6. Step 6: Final answer
    x = 7,917.51

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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.