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Finding the Fourth Proportional to 11,419.94, 15,758.24 and 6,451.94

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Solution

The fourth proportional to 11,419.94, 15,758.24 and 6,451.94 is: 8,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.94 : 15,758.24 = 6,451.94 : x
  2. Step 2: Convert to fraction form
    11,419.94/15,758.24 = 6,451.94/x
  3. Step 3: Cross multiply
    11,419.94x = 15,758.24 × 6,451.94
  4. Step 4: Simplify right side
    11,419.94x = 101,671,218.99
  5. Step 5: Solve for x
    x = 101,671,218.99/11,419.94
  6. Step 6: Final answer
    x = 8,902.96

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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.