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Finding the Fourth Proportional to 7,334.24, 11,005.92 and 4,566.33

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Solution

The fourth proportional to 7,334.24, 11,005.92 and 4,566.33 is: 6,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.24 : 11,005.92 = 4,566.33 : x
  2. Step 2: Convert to fraction form
    7,334.24/11,005.92 = 4,566.33/x
  3. Step 3: Cross multiply
    7,334.24x = 11,005.92 × 4,566.33
  4. Step 4: Simplify right side
    7,334.24x = 50,256,662.67
  5. Step 5: Solve for x
    x = 50,256,662.67/7,334.24
  6. Step 6: Final answer
    x = 6,852.34

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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.