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Finding the Fourth Proportional to 10,316.76, 15,472.82 and 4,769.29

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Solution

The fourth proportional to 10,316.76, 15,472.82 and 4,769.29 is: 7,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.76 : 15,472.82 = 4,769.29 : x
  2. Step 2: Convert to fraction form
    10,316.76/15,472.82 = 4,769.29/x
  3. Step 3: Cross multiply
    10,316.76x = 15,472.82 × 4,769.29
  4. Step 4: Simplify right side
    10,316.76x = 73,794,365.70
  5. Step 5: Solve for x
    x = 73,794,365.70/10,316.76
  6. Step 6: Final answer
    x = 7,152.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.