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Finding the Fourth Proportional to 8,692.84, 13,039.26 and 5,617

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Solution

The fourth proportional to 8,692.84, 13,039.26 and 5,617 is: 8,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.84 : 13,039.26 = 5,617 : x
  2. Step 2: Convert to fraction form
    8,692.84/13,039.26 = 5,617/x
  3. Step 3: Cross multiply
    8,692.84x = 13,039.26 × 5,617
  4. Step 4: Simplify right side
    8,692.84x = 73,241,523.42
  5. Step 5: Solve for x
    x = 73,241,523.42/8,692.84
  6. Step 6: Final answer
    x = 8,425.50

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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.