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Finding the Fourth Proportional to 7,002.75, 10,505.22 and 2,071.89

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Solution

The fourth proportional to 7,002.75, 10,505.22 and 2,071.89 is: 3,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.75 : 10,505.22 = 2,071.89 : x
  2. Step 2: Convert to fraction form
    7,002.75/10,505.22 = 2,071.89/x
  3. Step 3: Cross multiply
    7,002.75x = 10,505.22 × 2,071.89
  4. Step 4: Simplify right side
    7,002.75x = 21,765,660.27
  5. Step 5: Solve for x
    x = 21,765,660.27/7,002.75
  6. Step 6: Final answer
    x = 3,108.16

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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.