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Finding the Fourth Proportional to 7,792.55, 11,694.42 and 5,287.50

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Solution

The fourth proportional to 7,792.55, 11,694.42 and 5,287.50 is: 7,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.55 : 11,694.42 = 5,287.50 : x
  2. Step 2: Convert to fraction form
    7,792.55/11,694.42 = 5,287.50/x
  3. Step 3: Cross multiply
    7,792.55x = 11,694.42 × 5,287.50
  4. Step 4: Simplify right side
    7,792.55x = 61,834,245.75
  5. Step 5: Solve for x
    x = 61,834,245.75/7,792.55
  6. Step 6: Final answer
    x = 7,935.05

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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.