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Finding the Fourth Proportional to 8,117.14, 11,201.64 and 4,580.56

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Solution

The fourth proportional to 8,117.14, 11,201.64 and 4,580.56 is: 6,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.14 : 11,201.64 = 4,580.56 : x
  2. Step 2: Convert to fraction form
    8,117.14/11,201.64 = 4,580.56/x
  3. Step 3: Cross multiply
    8,117.14x = 11,201.64 × 4,580.56
  4. Step 4: Simplify right side
    8,117.14x = 51,309,784.12
  5. Step 5: Solve for x
    x = 51,309,784.12/8,117.14
  6. Step 6: Final answer
    x = 6,321.17

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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.