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Finding the Fourth Proportional to 7,002.56, 10,504.32 and 2,072

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Solution

The fourth proportional to 7,002.56, 10,504.32 and 2,072 is: 3,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.56 : 10,504.32 = 2,072 : x
  2. Step 2: Convert to fraction form
    7,002.56/10,504.32 = 2,072/x
  3. Step 3: Cross multiply
    7,002.56x = 10,504.32 × 2,072
  4. Step 4: Simplify right side
    7,002.56x = 21,764,951.04
  5. Step 5: Solve for x
    x = 21,764,951.04/7,002.56
  6. Step 6: Final answer
    x = 3,108.14

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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.