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Finding the Fourth Proportional to 7,002.71, 10,506.11 and 2,072.48

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Solution

The fourth proportional to 7,002.71, 10,506.11 and 2,072.48 is: 3,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.71 : 10,506.11 = 2,072.48 : x
  2. Step 2: Convert to fraction form
    7,002.71/10,506.11 = 2,072.48/x
  3. Step 3: Cross multiply
    7,002.71x = 10,506.11 × 2,072.48
  4. Step 4: Simplify right side
    7,002.71x = 21,773,655.50
  5. Step 5: Solve for x
    x = 21,773,655.50/7,002.71
  6. Step 6: Final answer
    x = 3,109.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.