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Finding the Fourth Proportional to 7,867.28, 10,857.05 and 4,282.48

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Solution

The fourth proportional to 7,867.28, 10,857.05 and 4,282.48 is: 5,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.28 : 10,857.05 = 4,282.48 : x
  2. Step 2: Convert to fraction form
    7,867.28/10,857.05 = 4,282.48/x
  3. Step 3: Cross multiply
    7,867.28x = 10,857.05 × 4,282.48
  4. Step 4: Simplify right side
    7,867.28x = 46,495,099.48
  5. Step 5: Solve for x
    x = 46,495,099.48/7,867.28
  6. Step 6: Final answer
    x = 5,909.93

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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.