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Finding the Fourth Proportional to 8,233.52, 11,362.16 and 4,456.60

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Solution

The fourth proportional to 8,233.52, 11,362.16 and 4,456.60 is: 6,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.52 : 11,362.16 = 4,456.60 : x
  2. Step 2: Convert to fraction form
    8,233.52/11,362.16 = 4,456.60/x
  3. Step 3: Cross multiply
    8,233.52x = 11,362.16 × 4,456.60
  4. Step 4: Simplify right side
    8,233.52x = 50,636,602.26
  5. Step 5: Solve for x
    x = 50,636,602.26/8,233.52
  6. Step 6: Final answer
    x = 6,150.06

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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.