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Finding the Fourth Proportional to 7,792.26, 10,752.38 and 4,434.16

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Solution

The fourth proportional to 7,792.26, 10,752.38 and 4,434.16 is: 6,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.26 : 10,752.38 = 4,434.16 : x
  2. Step 2: Convert to fraction form
    7,792.26/10,752.38 = 4,434.16/x
  3. Step 3: Cross multiply
    7,792.26x = 10,752.38 × 4,434.16
  4. Step 4: Simplify right side
    7,792.26x = 47,677,773.30
  5. Step 5: Solve for x
    x = 47,677,773.30/7,792.26
  6. Step 6: Final answer
    x = 6,118.61

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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.