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Finding the Fourth Proportional to 7,848.12, 10,832.94 and 5,371.32

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Solution

The fourth proportional to 7,848.12, 10,832.94 and 5,371.32 is: 7,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.12 : 10,832.94 = 5,371.32 : x
  2. Step 2: Convert to fraction form
    7,848.12/10,832.94 = 5,371.32/x
  3. Step 3: Cross multiply
    7,848.12x = 10,832.94 × 5,371.32
  4. Step 4: Simplify right side
    7,848.12x = 58,187,187.28
  5. Step 5: Solve for x
    x = 58,187,187.28/7,848.12
  6. Step 6: Final answer
    x = 7,414.16

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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.