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Finding the Fourth Proportional to 11,741.60, 17,612.14 and 2,856.98

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Solution

The fourth proportional to 11,741.60, 17,612.14 and 2,856.98 is: 4,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.60 : 17,612.14 = 2,856.98 : x
  2. Step 2: Convert to fraction form
    11,741.60/17,612.14 = 2,856.98/x
  3. Step 3: Cross multiply
    11,741.60x = 17,612.14 × 2,856.98
  4. Step 4: Simplify right side
    11,741.60x = 50,317,600.76
  5. Step 5: Solve for x
    x = 50,317,600.76/11,741.60
  6. Step 6: Final answer
    x = 4,285.41

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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.