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Finding the Fourth Proportional to 8,233.84, 11,362.77 and 4,697.23

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Solution

The fourth proportional to 8,233.84, 11,362.77 and 4,697.23 is: 6,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.84 : 11,362.77 = 4,697.23 : x
  2. Step 2: Convert to fraction form
    8,233.84/11,362.77 = 4,697.23/x
  3. Step 3: Cross multiply
    8,233.84x = 11,362.77 × 4,697.23
  4. Step 4: Simplify right side
    8,233.84x = 53,373,544.13
  5. Step 5: Solve for x
    x = 53,373,544.13/8,233.84
  6. Step 6: Final answer
    x = 6,482.22

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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.