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Finding the Fourth Proportional to 7,856.64, 10,843.20 and 5,341.50

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Solution

The fourth proportional to 7,856.64, 10,843.20 and 5,341.50 is: 7,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.64 : 10,843.20 = 5,341.50 : x
  2. Step 2: Convert to fraction form
    7,856.64/10,843.20 = 5,341.50/x
  3. Step 3: Cross multiply
    7,856.64x = 10,843.20 × 5,341.50
  4. Step 4: Simplify right side
    7,856.64x = 57,918,952.80
  5. Step 5: Solve for x
    x = 57,918,952.80/7,856.64
  6. Step 6: Final answer
    x = 7,371.97

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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.