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Finding the Fourth Proportional to 7,973.65, 11,960.48 and 3,812.68

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Solution

The fourth proportional to 7,973.65, 11,960.48 and 3,812.68 is: 5,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.65 : 11,960.48 = 3,812.68 : x
  2. Step 2: Convert to fraction form
    7,973.65/11,960.48 = 3,812.68/x
  3. Step 3: Cross multiply
    7,973.65x = 11,960.48 × 3,812.68
  4. Step 4: Simplify right side
    7,973.65x = 45,601,404.02
  5. Step 5: Solve for x
    x = 45,601,404.02/7,973.65
  6. Step 6: Final answer
    x = 5,719.02

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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.