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Finding the Fourth Proportional to 10,213.70, 14,095.22 and 5,737.55

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Solution

The fourth proportional to 10,213.70, 14,095.22 and 5,737.55 is: 7,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.70 : 14,095.22 = 5,737.55 : x
  2. Step 2: Convert to fraction form
    10,213.70/14,095.22 = 5,737.55/x
  3. Step 3: Cross multiply
    10,213.70x = 14,095.22 × 5,737.55
  4. Step 4: Simplify right side
    10,213.70x = 80,871,973.38
  5. Step 5: Solve for x
    x = 80,871,973.38/10,213.70
  6. Step 6: Final answer
    x = 7,917.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.