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Finding the Fourth Proportional to 10,012.56, 14,998.30 and 5,620.80

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Solution

The fourth proportional to 10,012.56, 14,998.30 and 5,620.80 is: 8,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.56 : 14,998.30 = 5,620.80 : x
  2. Step 2: Convert to fraction form
    10,012.56/14,998.30 = 5,620.80/x
  3. Step 3: Cross multiply
    10,012.56x = 14,998.30 × 5,620.80
  4. Step 4: Simplify right side
    10,012.56x = 84,302,444.64
  5. Step 5: Solve for x
    x = 84,302,444.64/10,012.56
  6. Step 6: Final answer
    x = 8,419.67

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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.