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Finding the Fourth Proportional to 8,692.90, 13,028.86 and 4,006.48

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Solution

The fourth proportional to 8,692.90, 13,028.86 and 4,006.48 is: 6,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.90 : 13,028.86 = 4,006.48 : x
  2. Step 2: Convert to fraction form
    8,692.90/13,028.86 = 4,006.48/x
  3. Step 3: Cross multiply
    8,692.90x = 13,028.86 × 4,006.48
  4. Step 4: Simplify right side
    8,692.90x = 52,199,867.01
  5. Step 5: Solve for x
    x = 52,199,867.01/8,692.90
  6. Step 6: Final answer
    x = 6,004.89

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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.