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Finding the Fourth Proportional to 7,615.92, 11,428.20 and 3,002.16

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Solution

The fourth proportional to 7,615.92, 11,428.20 and 3,002.16 is: 4,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.92 : 11,428.20 = 3,002.16 : x
  2. Step 2: Convert to fraction form
    7,615.92/11,428.20 = 3,002.16/x
  3. Step 3: Cross multiply
    7,615.92x = 11,428.20 × 3,002.16
  4. Step 4: Simplify right side
    7,615.92x = 34,309,284.91
  5. Step 5: Solve for x
    x = 34,309,284.91/7,615.92
  6. Step 6: Final answer
    x = 4,504.94

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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.