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Finding the Fourth Proportional to 10,157.76, 14,016.45 and 5,680.39

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Solution

The fourth proportional to 10,157.76, 14,016.45 and 5,680.39 is: 7,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.76 : 14,016.45 = 5,680.39 : x
  2. Step 2: Convert to fraction form
    10,157.76/14,016.45 = 5,680.39/x
  3. Step 3: Cross multiply
    10,157.76x = 14,016.45 × 5,680.39
  4. Step 4: Simplify right side
    10,157.76x = 79,618,906.71
  5. Step 5: Solve for x
    x = 79,618,906.71/10,157.76
  6. Step 6: Final answer
    x = 7,838.23

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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.