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Finding the Fourth Proportional to 8,261.86, 11,400.60 and 4,904.09

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Solution

The fourth proportional to 8,261.86, 11,400.60 and 4,904.09 is: 6,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.86 : 11,400.60 = 4,904.09 : x
  2. Step 2: Convert to fraction form
    8,261.86/11,400.60 = 4,904.09/x
  3. Step 3: Cross multiply
    8,261.86x = 11,400.60 × 4,904.09
  4. Step 4: Simplify right side
    8,261.86x = 55,909,568.45
  5. Step 5: Solve for x
    x = 55,909,568.45/8,261.86
  6. Step 6: Final answer
    x = 6,767.19

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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.