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Finding the Fourth Proportional to 5,876.33, 8,111.07 and 5,088.11

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Solution

The fourth proportional to 5,876.33, 8,111.07 and 5,088.11 is: 7,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.33 : 8,111.07 = 5,088.11 : x
  2. Step 2: Convert to fraction form
    5,876.33/8,111.07 = 5,088.11/x
  3. Step 3: Cross multiply
    5,876.33x = 8,111.07 × 5,088.11
  4. Step 4: Simplify right side
    5,876.33x = 41,269,975.82
  5. Step 5: Solve for x
    x = 41,269,975.82/5,876.33
  6. Step 6: Final answer
    x = 7,023.09

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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.