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Finding the Fourth Proportional to 7,566.34, 10,440.73 and 4,208.61

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Solution

The fourth proportional to 7,566.34, 10,440.73 and 4,208.61 is: 5,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.34 : 10,440.73 = 4,208.61 : x
  2. Step 2: Convert to fraction form
    7,566.34/10,440.73 = 4,208.61/x
  3. Step 3: Cross multiply
    7,566.34x = 10,440.73 × 4,208.61
  4. Step 4: Simplify right side
    7,566.34x = 43,940,939.64
  5. Step 5: Solve for x
    x = 43,940,939.64/7,566.34
  6. Step 6: Final answer
    x = 5,807.43

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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.