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Finding the Fourth Proportional to 7,853.55, 11,781.37 and 2,856.32

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Solution

The fourth proportional to 7,853.55, 11,781.37 and 2,856.32 is: 4,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.55 : 11,781.37 = 2,856.32 : x
  2. Step 2: Convert to fraction form
    7,853.55/11,781.37 = 2,856.32/x
  3. Step 3: Cross multiply
    7,853.55x = 11,781.37 × 2,856.32
  4. Step 4: Simplify right side
    7,853.55x = 33,651,362.76
  5. Step 5: Solve for x
    x = 33,651,362.76/7,853.55
  6. Step 6: Final answer
    x = 4,284.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.