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Finding the Fourth Proportional to 8,157.60, 11,241.36 and 5,793.12

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Solution

The fourth proportional to 8,157.60, 11,241.36 and 5,793.12 is: 7,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.60 : 11,241.36 = 5,793.12 : x
  2. Step 2: Convert to fraction form
    8,157.60/11,241.36 = 5,793.12/x
  3. Step 3: Cross multiply
    8,157.60x = 11,241.36 × 5,793.12
  4. Step 4: Simplify right side
    8,157.60x = 65,122,547.44
  5. Step 5: Solve for x
    x = 65,122,547.44/8,157.60
  6. Step 6: Final answer
    x = 7,983.05

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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.