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Finding the Fourth Proportional to 11,856.60, 17,784.90 and 3,091.52

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Solution

The fourth proportional to 11,856.60, 17,784.90 and 3,091.52 is: 4,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.60 : 17,784.90 = 3,091.52 : x
  2. Step 2: Convert to fraction form
    11,856.60/17,784.90 = 3,091.52/x
  3. Step 3: Cross multiply
    11,856.60x = 17,784.90 × 3,091.52
  4. Step 4: Simplify right side
    11,856.60x = 54,982,374.05
  5. Step 5: Solve for x
    x = 54,982,374.05/11,856.60
  6. Step 6: Final answer
    x = 4,637.28

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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.