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Finding the Fourth Proportional to 7,072.98, 10,609.47 and 2,689.41

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Solution

The fourth proportional to 7,072.98, 10,609.47 and 2,689.41 is: 4,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.98 : 10,609.47 = 2,689.41 : x
  2. Step 2: Convert to fraction form
    7,072.98/10,609.47 = 2,689.41/x
  3. Step 3: Cross multiply
    7,072.98x = 10,609.47 × 2,689.41
  4. Step 4: Simplify right side
    7,072.98x = 28,533,214.71
  5. Step 5: Solve for x
    x = 28,533,214.71/7,072.98
  6. Step 6: Final answer
    x = 4,034.12

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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.