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Finding the Fourth Proportional to 8,427.91, 11,630.50 and 4,651.07

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Solution

The fourth proportional to 8,427.91, 11,630.50 and 4,651.07 is: 6,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.91 : 11,630.50 = 4,651.07 : x
  2. Step 2: Convert to fraction form
    8,427.91/11,630.50 = 4,651.07/x
  3. Step 3: Cross multiply
    8,427.91x = 11,630.50 × 4,651.07
  4. Step 4: Simplify right side
    8,427.91x = 54,094,269.64
  5. Step 5: Solve for x
    x = 54,094,269.64/8,427.91
  6. Step 6: Final answer
    x = 6,418.47

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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.