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Finding the Fourth Proportional to 10,327.78, 14,254.41 and 6,135.22

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Solution

The fourth proportional to 10,327.78, 14,254.41 and 6,135.22 is: 8,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.78 : 14,254.41 = 6,135.22 : x
  2. Step 2: Convert to fraction form
    10,327.78/14,254.41 = 6,135.22/x
  3. Step 3: Cross multiply
    10,327.78x = 14,254.41 × 6,135.22
  4. Step 4: Simplify right side
    10,327.78x = 87,453,941.32
  5. Step 5: Solve for x
    x = 87,453,941.32/10,327.78
  6. Step 6: Final answer
    x = 8,467.84

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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.