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Finding the Fourth Proportional to 10,648.32, 14,692.32 and 6,172.80

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Solution

The fourth proportional to 10,648.32, 14,692.32 and 6,172.80 is: 8,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.32 : 14,692.32 = 6,172.80 : x
  2. Step 2: Convert to fraction form
    10,648.32/14,692.32 = 6,172.80/x
  3. Step 3: Cross multiply
    10,648.32x = 14,692.32 × 6,172.80
  4. Step 4: Simplify right side
    10,648.32x = 90,692,752.90
  5. Step 5: Solve for x
    x = 90,692,752.90/10,648.32
  6. Step 6: Final answer
    x = 8,517.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.