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Finding the Fourth Proportional to 7,856.82, 10,842.40 and 4,320.20

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Solution

The fourth proportional to 7,856.82, 10,842.40 and 4,320.20 is: 5,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.82 : 10,842.40 = 4,320.20 : x
  2. Step 2: Convert to fraction form
    7,856.82/10,842.40 = 4,320.20/x
  3. Step 3: Cross multiply
    7,856.82x = 10,842.40 × 4,320.20
  4. Step 4: Simplify right side
    7,856.82x = 46,841,336.48
  5. Step 5: Solve for x
    x = 46,841,336.48/7,856.82
  6. Step 6: Final answer
    x = 5,961.87

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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.