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Finding the Fourth Proportional to 10,656.04, 14,692.26 and 8,761

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Solution

The fourth proportional to 10,656.04, 14,692.26 and 8,761 is: 12,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.04 : 14,692.26 = 8,761 : x
  2. Step 2: Convert to fraction form
    10,656.04/14,692.26 = 8,761/x
  3. Step 3: Cross multiply
    10,656.04x = 14,692.26 × 8,761
  4. Step 4: Simplify right side
    10,656.04x = 128,718,889.86
  5. Step 5: Solve for x
    x = 128,718,889.86/10,656.04
  6. Step 6: Final answer
    x = 12,079.43

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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.