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Finding the Fourth Proportional to 10,027.11, 13,822.99 and 7,033.67

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Solution

The fourth proportional to 10,027.11, 13,822.99 and 7,033.67 is: 9,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.11 : 13,822.99 = 7,033.67 : x
  2. Step 2: Convert to fraction form
    10,027.11/13,822.99 = 7,033.67/x
  3. Step 3: Cross multiply
    10,027.11x = 13,822.99 × 7,033.67
  4. Step 4: Simplify right side
    10,027.11x = 97,226,263.37
  5. Step 5: Solve for x
    x = 97,226,263.37/10,027.11
  6. Step 6: Final answer
    x = 9,696.34

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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.