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Finding the Fourth Proportional to 7,394.72, 11,095.76 and 3,932

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Solution

The fourth proportional to 7,394.72, 11,095.76 and 3,932 is: 5,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.72 : 11,095.76 = 3,932 : x
  2. Step 2: Convert to fraction form
    7,394.72/11,095.76 = 3,932/x
  3. Step 3: Cross multiply
    7,394.72x = 11,095.76 × 3,932
  4. Step 4: Simplify right side
    7,394.72x = 43,628,528.32
  5. Step 5: Solve for x
    x = 43,628,528.32/7,394.72
  6. Step 6: Final answer
    x = 5,899.96

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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.