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Finding the Fourth Proportional to 7,292.13, 10,052.91 and 5,161.32

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Solution

The fourth proportional to 7,292.13, 10,052.91 and 5,161.32 is: 7,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.13 : 10,052.91 = 5,161.32 : x
  2. Step 2: Convert to fraction form
    7,292.13/10,052.91 = 5,161.32/x
  3. Step 3: Cross multiply
    7,292.13x = 10,052.91 × 5,161.32
  4. Step 4: Simplify right side
    7,292.13x = 51,886,285.44
  5. Step 5: Solve for x
    x = 51,886,285.44/7,292.13
  6. Step 6: Final answer
    x = 7,115.38

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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.