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Finding the Fourth Proportional to 8,233.49, 11,362.23 and 4,456.64

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Solution

The fourth proportional to 8,233.49, 11,362.23 and 4,456.64 is: 6,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.49 : 11,362.23 = 4,456.64 : x
  2. Step 2: Convert to fraction form
    8,233.49/11,362.23 = 4,456.64/x
  3. Step 3: Cross multiply
    8,233.49x = 11,362.23 × 4,456.64
  4. Step 4: Simplify right side
    8,233.49x = 50,637,368.71
  5. Step 5: Solve for x
    x = 50,637,368.71/8,233.49
  6. Step 6: Final answer
    x = 6,150.17

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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.