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Finding the Fourth Proportional to 10,610.60, 14,644.73 and 6,134.13

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Solution

The fourth proportional to 10,610.60, 14,644.73 and 6,134.13 is: 8,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.60 : 14,644.73 = 6,134.13 : x
  2. Step 2: Convert to fraction form
    10,610.60/14,644.73 = 6,134.13/x
  3. Step 3: Cross multiply
    10,610.60x = 14,644.73 × 6,134.13
  4. Step 4: Simplify right side
    10,610.60x = 89,832,692.97
  5. Step 5: Solve for x
    x = 89,832,692.97/10,610.60
  6. Step 6: Final answer
    x = 8,466.32

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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.