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Finding the Fourth Proportional to 8,427.77, 11,630.31 and 4,650.93

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Solution

The fourth proportional to 8,427.77, 11,630.31 and 4,650.93 is: 6,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.77 : 11,630.31 = 4,650.93 : x
  2. Step 2: Convert to fraction form
    8,427.77/11,630.31 = 4,650.93/x
  3. Step 3: Cross multiply
    8,427.77x = 11,630.31 × 4,650.93
  4. Step 4: Simplify right side
    8,427.77x = 54,091,734.43
  5. Step 5: Solve for x
    x = 54,091,734.43/8,427.77
  6. Step 6: Final answer
    x = 6,418.28

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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.