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Finding the Fourth Proportional to 10,392.22, 14,340.63 and 5,676.22

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Solution

The fourth proportional to 10,392.22, 14,340.63 and 5,676.22 is: 7,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.22 : 14,340.63 = 5,676.22 : x
  2. Step 2: Convert to fraction form
    10,392.22/14,340.63 = 5,676.22/x
  3. Step 3: Cross multiply
    10,392.22x = 14,340.63 × 5,676.22
  4. Step 4: Simplify right side
    10,392.22x = 81,400,570.82
  5. Step 5: Solve for x
    x = 81,400,570.82/10,392.22
  6. Step 6: Final answer
    x = 7,832.84

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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.