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Finding the Fourth Proportional to 7,159.86, 10,747.08 and 4,812.48

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Solution

The fourth proportional to 7,159.86, 10,747.08 and 4,812.48 is: 7,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.86 : 10,747.08 = 4,812.48 : x
  2. Step 2: Convert to fraction form
    7,159.86/10,747.08 = 4,812.48/x
  3. Step 3: Cross multiply
    7,159.86x = 10,747.08 × 4,812.48
  4. Step 4: Simplify right side
    7,159.86x = 51,720,107.56
  5. Step 5: Solve for x
    x = 51,720,107.56/7,159.86
  6. Step 6: Final answer
    x = 7,223.62

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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.