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Finding the Fourth Proportional to 11,183.88, 15,407.06 and 7,820.40

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Solution

The fourth proportional to 11,183.88, 15,407.06 and 7,820.40 is: 10,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.88 : 15,407.06 = 7,820.40 : x
  2. Step 2: Convert to fraction form
    11,183.88/15,407.06 = 7,820.40/x
  3. Step 3: Cross multiply
    11,183.88x = 15,407.06 × 7,820.40
  4. Step 4: Simplify right side
    11,183.88x = 120,489,372.02
  5. Step 5: Solve for x
    x = 120,489,372.02/11,183.88
  6. Step 6: Final answer
    x = 10,773.49

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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.