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Finding the Fourth Proportional to 7,899.67, 10,841.37 and 7,151.99

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Solution

The fourth proportional to 7,899.67, 10,841.37 and 7,151.99 is: 9,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.67 : 10,841.37 = 7,151.99 : x
  2. Step 2: Convert to fraction form
    7,899.67/10,841.37 = 7,151.99/x
  3. Step 3: Cross multiply
    7,899.67x = 10,841.37 × 7,151.99
  4. Step 4: Simplify right side
    7,899.67x = 77,537,369.83
  5. Step 5: Solve for x
    x = 77,537,369.83/7,899.67
  6. Step 6: Final answer
    x = 9,815.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.