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Finding the Fourth Proportional to 7,848.32, 11,796.96 and 4,945.28

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Solution

The fourth proportional to 7,848.32, 11,796.96 and 4,945.28 is: 7,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.32 : 11,796.96 = 4,945.28 : x
  2. Step 2: Convert to fraction form
    7,848.32/11,796.96 = 4,945.28/x
  3. Step 3: Cross multiply
    7,848.32x = 11,796.96 × 4,945.28
  4. Step 4: Simplify right side
    7,848.32x = 58,339,270.35
  5. Step 5: Solve for x
    x = 58,339,270.35/7,848.32
  6. Step 6: Final answer
    x = 7,433.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.