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Finding the Fourth Proportional to 7,316.76, 10,096.38 and 4,129.76

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Solution

The fourth proportional to 7,316.76, 10,096.38 and 4,129.76 is: 5,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.76 : 10,096.38 = 4,129.76 : x
  2. Step 2: Convert to fraction form
    7,316.76/10,096.38 = 4,129.76/x
  3. Step 3: Cross multiply
    7,316.76x = 10,096.38 × 4,129.76
  4. Step 4: Simplify right side
    7,316.76x = 41,695,626.27
  5. Step 5: Solve for x
    x = 41,695,626.27/7,316.76
  6. Step 6: Final answer
    x = 5,698.65

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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.