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Finding the Fourth Proportional to 11,742.75, 16,205.01 and 6,437.76

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Solution

The fourth proportional to 11,742.75, 16,205.01 and 6,437.76 is: 8,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.75 : 16,205.01 = 6,437.76 : x
  2. Step 2: Convert to fraction form
    11,742.75/16,205.01 = 6,437.76/x
  3. Step 3: Cross multiply
    11,742.75x = 16,205.01 × 6,437.76
  4. Step 4: Simplify right side
    11,742.75x = 104,323,965.18
  5. Step 5: Solve for x
    x = 104,323,965.18/11,742.75
  6. Step 6: Final answer
    x = 8,884.12

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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.