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Finding the Fourth Proportional to 6,830.07, 10,249.09 and 2,881.09

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Solution

The fourth proportional to 6,830.07, 10,249.09 and 2,881.09 is: 4,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.07 : 10,249.09 = 2,881.09 : x
  2. Step 2: Convert to fraction form
    6,830.07/10,249.09 = 2,881.09/x
  3. Step 3: Cross multiply
    6,830.07x = 10,249.09 × 2,881.09
  4. Step 4: Simplify right side
    6,830.07x = 29,528,492.26
  5. Step 5: Solve for x
    x = 29,528,492.26/6,830.07
  6. Step 6: Final answer
    x = 4,323.31

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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.