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Finding the Fourth Proportional to 7,566.44, 10,440.78 and 4,208.42

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Solution

The fourth proportional to 7,566.44, 10,440.78 and 4,208.42 is: 5,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.44 : 10,440.78 = 4,208.42 : x
  2. Step 2: Convert to fraction form
    7,566.44/10,440.78 = 4,208.42/x
  3. Step 3: Cross multiply
    7,566.44x = 10,440.78 × 4,208.42
  4. Step 4: Simplify right side
    7,566.44x = 43,939,187.37
  5. Step 5: Solve for x
    x = 43,939,187.37/7,566.44
  6. Step 6: Final answer
    x = 5,807.12

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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.