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Finding the Fourth Proportional to 10,739.02, 14,819.93 and 5,893.72

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Solution

The fourth proportional to 10,739.02, 14,819.93 and 5,893.72 is: 8,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.02 : 14,819.93 = 5,893.72 : x
  2. Step 2: Convert to fraction form
    10,739.02/14,819.93 = 5,893.72/x
  3. Step 3: Cross multiply
    10,739.02x = 14,819.93 × 5,893.72
  4. Step 4: Simplify right side
    10,739.02x = 87,344,517.84
  5. Step 5: Solve for x
    x = 87,344,517.84/10,739.02
  6. Step 6: Final answer
    x = 8,133.38

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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.