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Finding the Fourth Proportional to 10,033.44, 15,028.32 and 6,126

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Solution

The fourth proportional to 10,033.44, 15,028.32 and 6,126 is: 9,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.44 : 15,028.32 = 6,126 : x
  2. Step 2: Convert to fraction form
    10,033.44/15,028.32 = 6,126/x
  3. Step 3: Cross multiply
    10,033.44x = 15,028.32 × 6,126
  4. Step 4: Simplify right side
    10,033.44x = 92,063,488.32
  5. Step 5: Solve for x
    x = 92,063,488.32/10,033.44
  6. Step 6: Final answer
    x = 9,175.67

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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.