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Finding the Fourth Proportional to 10,647.09, 14,692.72 and 5,931.27

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Solution

The fourth proportional to 10,647.09, 14,692.72 and 5,931.27 is: 8,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.09 : 14,692.72 = 5,931.27 : x
  2. Step 2: Convert to fraction form
    10,647.09/14,692.72 = 5,931.27/x
  3. Step 3: Cross multiply
    10,647.09x = 14,692.72 × 5,931.27
  4. Step 4: Simplify right side
    10,647.09x = 87,146,489.35
  5. Step 5: Solve for x
    x = 87,146,489.35/10,647.09
  6. Step 6: Final answer
    x = 8,185.01

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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.