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Finding the Fourth Proportional to 7,111.92, 9,806.22 and 5,848.32

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Solution

The fourth proportional to 7,111.92, 9,806.22 and 5,848.32 is: 8,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.92 : 9,806.22 = 5,848.32 : x
  2. Step 2: Convert to fraction form
    7,111.92/9,806.22 = 5,848.32/x
  3. Step 3: Cross multiply
    7,111.92x = 9,806.22 × 5,848.32
  4. Step 4: Simplify right side
    7,111.92x = 57,349,912.55
  5. Step 5: Solve for x
    x = 57,349,912.55/7,111.92
  6. Step 6: Final answer
    x = 8,063.91

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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.