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Finding the Fourth Proportional to 10,692.25, 14,761.10 and 6,444.07

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Solution

The fourth proportional to 10,692.25, 14,761.10 and 6,444.07 is: 8,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.25 : 14,761.10 = 6,444.07 : x
  2. Step 2: Convert to fraction form
    10,692.25/14,761.10 = 6,444.07/x
  3. Step 3: Cross multiply
    10,692.25x = 14,761.10 × 6,444.07
  4. Step 4: Simplify right side
    10,692.25x = 95,121,512.59
  5. Step 5: Solve for x
    x = 95,121,512.59/10,692.25
  6. Step 6: Final answer
    x = 8,896.30

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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.