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Finding the Fourth Proportional to 10,299.21, 14,212.92 and 5,583.49

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Solution

The fourth proportional to 10,299.21, 14,212.92 and 5,583.49 is: 7,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.21 : 14,212.92 = 5,583.49 : x
  2. Step 2: Convert to fraction form
    10,299.21/14,212.92 = 5,583.49/x
  3. Step 3: Cross multiply
    10,299.21x = 14,212.92 × 5,583.49
  4. Step 4: Simplify right side
    10,299.21x = 79,357,682.10
  5. Step 5: Solve for x
    x = 79,357,682.10/10,299.21
  6. Step 6: Final answer
    x = 7,705.22

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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.