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Finding the Fourth Proportional to 6,859.67, 10,289.49 and 2,477.13

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Solution

The fourth proportional to 6,859.67, 10,289.49 and 2,477.13 is: 3,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.67 : 10,289.49 = 2,477.13 : x
  2. Step 2: Convert to fraction form
    6,859.67/10,289.49 = 2,477.13/x
  3. Step 3: Cross multiply
    6,859.67x = 10,289.49 × 2,477.13
  4. Step 4: Simplify right side
    6,859.67x = 25,488,404.36
  5. Step 5: Solve for x
    x = 25,488,404.36/6,859.67
  6. Step 6: Final answer
    x = 3,715.69

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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.