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Finding the Fourth Proportional to 8,042.56, 11,091 and 4,855.24

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Solution

The fourth proportional to 8,042.56, 11,091 and 4,855.24 is: 6,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.56 : 11,091 = 4,855.24 : x
  2. Step 2: Convert to fraction form
    8,042.56/11,091 = 4,855.24/x
  3. Step 3: Cross multiply
    8,042.56x = 11,091 × 4,855.24
  4. Step 4: Simplify right side
    8,042.56x = 53,849,466.84
  5. Step 5: Solve for x
    x = 53,849,466.84/8,042.56
  6. Step 6: Final answer
    x = 6,695.56

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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.