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Finding the Fourth Proportional to 7,967.80, 10,984.17 and 5,314.24

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Solution

The fourth proportional to 7,967.80, 10,984.17 and 5,314.24 is: 7,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.80 : 10,984.17 = 5,314.24 : x
  2. Step 2: Convert to fraction form
    7,967.80/10,984.17 = 5,314.24/x
  3. Step 3: Cross multiply
    7,967.80x = 10,984.17 × 5,314.24
  4. Step 4: Simplify right side
    7,967.80x = 58,372,515.58
  5. Step 5: Solve for x
    x = 58,372,515.58/7,967.80
  6. Step 6: Final answer
    x = 7,326.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.