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Finding the Fourth Proportional to 11,743.22, 16,206.04 and 6,437.99

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Solution

The fourth proportional to 11,743.22, 16,206.04 and 6,437.99 is: 8,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.22 : 16,206.04 = 6,437.99 : x
  2. Step 2: Convert to fraction form
    11,743.22/16,206.04 = 6,437.99/x
  3. Step 3: Cross multiply
    11,743.22x = 16,206.04 × 6,437.99
  4. Step 4: Simplify right side
    11,743.22x = 104,334,372.02
  5. Step 5: Solve for x
    x = 104,334,372.02/11,743.22
  6. Step 6: Final answer
    x = 8,884.65

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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.