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Finding the Fourth Proportional to 7,856.42, 10,842.02 and 4,319.96

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Solution

The fourth proportional to 7,856.42, 10,842.02 and 4,319.96 is: 5,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.42 : 10,842.02 = 4,319.96 : x
  2. Step 2: Convert to fraction form
    7,856.42/10,842.02 = 4,319.96/x
  3. Step 3: Cross multiply
    7,856.42x = 10,842.02 × 4,319.96
  4. Step 4: Simplify right side
    7,856.42x = 46,837,016.91
  5. Step 5: Solve for x
    x = 46,837,016.91/7,856.42
  6. Step 6: Final answer
    x = 5,961.63

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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.