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Finding the Fourth Proportional to 10,467.66, 14,433.59 and 8,072.22

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Solution

The fourth proportional to 10,467.66, 14,433.59 and 8,072.22 is: 11,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.66 : 14,433.59 = 8,072.22 : x
  2. Step 2: Convert to fraction form
    10,467.66/14,433.59 = 8,072.22/x
  3. Step 3: Cross multiply
    10,467.66x = 14,433.59 × 8,072.22
  4. Step 4: Simplify right side
    10,467.66x = 116,511,134.05
  5. Step 5: Solve for x
    x = 116,511,134.05/10,467.66
  6. Step 6: Final answer
    x = 11,130.58

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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.