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Finding the Fourth Proportional to 8,773, 13,161.78 and 2,617

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Solution

The fourth proportional to 8,773, 13,161.78 and 2,617 is: 3,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773 : 13,161.78 = 2,617 : x
  2. Step 2: Convert to fraction form
    8,773/13,161.78 = 2,617/x
  3. Step 3: Cross multiply
    8,773x = 13,161.78 × 2,617
  4. Step 4: Simplify right side
    8,773x = 34,444,378.26
  5. Step 5: Solve for x
    x = 34,444,378.26/8,773
  6. Step 6: Final answer
    x = 3,926.18

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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.