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Finding the Fourth Proportional to 11,792.64, 17,691.48 and 4,397.16

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Solution

The fourth proportional to 11,792.64, 17,691.48 and 4,397.16 is: 6,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.64 : 17,691.48 = 4,397.16 : x
  2. Step 2: Convert to fraction form
    11,792.64/17,691.48 = 4,397.16/x
  3. Step 3: Cross multiply
    11,792.64x = 17,691.48 × 4,397.16
  4. Step 4: Simplify right side
    11,792.64x = 77,792,268.20
  5. Step 5: Solve for x
    x = 77,792,268.20/11,792.64
  6. Step 6: Final answer
    x = 6,596.68

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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.