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Finding the Fourth Proportional to 10,299.12, 14,212.81 and 5,583.42

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Solution

The fourth proportional to 10,299.12, 14,212.81 and 5,583.42 is: 7,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.12 : 14,212.81 = 5,583.42 : x
  2. Step 2: Convert to fraction form
    10,299.12/14,212.81 = 5,583.42/x
  3. Step 3: Cross multiply
    10,299.12x = 14,212.81 × 5,583.42
  4. Step 4: Simplify right side
    10,299.12x = 79,356,087.61
  5. Step 5: Solve for x
    x = 79,356,087.61/10,299.12
  6. Step 6: Final answer
    x = 7,705.13

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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.