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Finding the Fourth Proportional to 7,867.50, 10,857.02 and 4,330.64

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Solution

The fourth proportional to 7,867.50, 10,857.02 and 4,330.64 is: 5,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.50 : 10,857.02 = 4,330.64 : x
  2. Step 2: Convert to fraction form
    7,867.50/10,857.02 = 4,330.64/x
  3. Step 3: Cross multiply
    7,867.50x = 10,857.02 × 4,330.64
  4. Step 4: Simplify right side
    7,867.50x = 47,017,845.09
  5. Step 5: Solve for x
    x = 47,017,845.09/7,867.50
  6. Step 6: Final answer
    x = 5,976.21

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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.