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Finding the Fourth Proportional to 8,451.66, 11,665.68 and 5,094.74

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Solution

The fourth proportional to 8,451.66, 11,665.68 and 5,094.74 is: 7,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.66 : 11,665.68 = 5,094.74 : x
  2. Step 2: Convert to fraction form
    8,451.66/11,665.68 = 5,094.74/x
  3. Step 3: Cross multiply
    8,451.66x = 11,665.68 × 5,094.74
  4. Step 4: Simplify right side
    8,451.66x = 59,433,606.52
  5. Step 5: Solve for x
    x = 59,433,606.52/8,451.66
  6. Step 6: Final answer
    x = 7,032.18

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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.