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Finding the Fourth Proportional to 8,111.91, 11,193.68 and 4,574.45

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Solution

The fourth proportional to 8,111.91, 11,193.68 and 4,574.45 is: 6,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.91 : 11,193.68 = 4,574.45 : x
  2. Step 2: Convert to fraction form
    8,111.91/11,193.68 = 4,574.45/x
  3. Step 3: Cross multiply
    8,111.91x = 11,193.68 × 4,574.45
  4. Step 4: Simplify right side
    8,111.91x = 51,204,850.64
  5. Step 5: Solve for x
    x = 51,204,850.64/8,111.91
  6. Step 6: Final answer
    x = 6,312.31

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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.