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Finding the Fourth Proportional to 10,672.93, 14,727.28 and 5,957.41

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Solution

The fourth proportional to 10,672.93, 14,727.28 and 5,957.41 is: 8,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.93 : 14,727.28 = 5,957.41 : x
  2. Step 2: Convert to fraction form
    10,672.93/14,727.28 = 5,957.41/x
  3. Step 3: Cross multiply
    10,672.93x = 14,727.28 × 5,957.41
  4. Step 4: Simplify right side
    10,672.93x = 87,736,445.14
  5. Step 5: Solve for x
    x = 87,736,445.14/10,672.93
  6. Step 6: Final answer
    x = 8,220.46

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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.