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Finding the Fourth Proportional to 8,117.21, 11,201.74 and 4,580.42

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Solution

The fourth proportional to 8,117.21, 11,201.74 and 4,580.42 is: 6,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.21 : 11,201.74 = 4,580.42 : x
  2. Step 2: Convert to fraction form
    8,117.21/11,201.74 = 4,580.42/x
  3. Step 3: Cross multiply
    8,117.21x = 11,201.74 × 4,580.42
  4. Step 4: Simplify right side
    8,117.21x = 51,308,673.93
  5. Step 5: Solve for x
    x = 51,308,673.93/8,117.21
  6. Step 6: Final answer
    x = 6,320.97

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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.