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Finding the Fourth Proportional to 7,679.72, 11,504.80 and 4,709.49

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Solution

The fourth proportional to 7,679.72, 11,504.80 and 4,709.49 is: 7,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.72 : 11,504.80 = 4,709.49 : x
  2. Step 2: Convert to fraction form
    7,679.72/11,504.80 = 4,709.49/x
  3. Step 3: Cross multiply
    7,679.72x = 11,504.80 × 4,709.49
  4. Step 4: Simplify right side
    7,679.72x = 54,181,740.55
  5. Step 5: Solve for x
    x = 54,181,740.55/7,679.72
  6. Step 6: Final answer
    x = 7,055.17

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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.