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Finding the Fourth Proportional to 7,566.68, 11,346.06 and 4,447.64

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Solution

The fourth proportional to 7,566.68, 11,346.06 and 4,447.64 is: 6,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.68 : 11,346.06 = 4,447.64 : x
  2. Step 2: Convert to fraction form
    7,566.68/11,346.06 = 4,447.64/x
  3. Step 3: Cross multiply
    7,566.68x = 11,346.06 × 4,447.64
  4. Step 4: Simplify right side
    7,566.68x = 50,463,190.30
  5. Step 5: Solve for x
    x = 50,463,190.30/7,566.68
  6. Step 6: Final answer
    x = 6,669.13

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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.