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Finding the Fourth Proportional to 10,012.30, 14,997.94 and 5,620.55

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Solution

The fourth proportional to 10,012.30, 14,997.94 and 5,620.55 is: 8,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.30 : 14,997.94 = 5,620.55 : x
  2. Step 2: Convert to fraction form
    10,012.30/14,997.94 = 5,620.55/x
  3. Step 3: Cross multiply
    10,012.30x = 14,997.94 × 5,620.55
  4. Step 4: Simplify right side
    10,012.30x = 84,296,582.63
  5. Step 5: Solve for x
    x = 84,296,582.63/10,012.30
  6. Step 6: Final answer
    x = 8,419.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.