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Finding the Fourth Proportional to 10,735.44, 14,803.60 and 8,493.72

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Solution

The fourth proportional to 10,735.44, 14,803.60 and 8,493.72 is: 11,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.44 : 14,803.60 = 8,493.72 : x
  2. Step 2: Convert to fraction form
    10,735.44/14,803.60 = 8,493.72/x
  3. Step 3: Cross multiply
    10,735.44x = 14,803.60 × 8,493.72
  4. Step 4: Simplify right side
    10,735.44x = 125,737,633.39
  5. Step 5: Solve for x
    x = 125,737,633.39/10,735.44
  6. Step 6: Final answer
    x = 11,712.39

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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.