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Finding the Fourth Proportional to 8,232.23, 11,355.86 and 5,047.07

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Solution

The fourth proportional to 8,232.23, 11,355.86 and 5,047.07 is: 6,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.23 : 11,355.86 = 5,047.07 : x
  2. Step 2: Convert to fraction form
    8,232.23/11,355.86 = 5,047.07/x
  3. Step 3: Cross multiply
    8,232.23x = 11,355.86 × 5,047.07
  4. Step 4: Simplify right side
    8,232.23x = 57,313,738.32
  5. Step 5: Solve for x
    x = 57,313,738.32/8,232.23
  6. Step 6: Final answer
    x = 6,962.12

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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.