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Finding the Fourth Proportional to 10,236.75, 14,126.72 and 6,045

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Solution

The fourth proportional to 10,236.75, 14,126.72 and 6,045 is: 8,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.75 : 14,126.72 = 6,045 : x
  2. Step 2: Convert to fraction form
    10,236.75/14,126.72 = 6,045/x
  3. Step 3: Cross multiply
    10,236.75x = 14,126.72 × 6,045
  4. Step 4: Simplify right side
    10,236.75x = 85,395,992.18
  5. Step 5: Solve for x
    x = 85,395,992.18/10,236.75
  6. Step 6: Final answer
    x = 8,342.10

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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.