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Finding the Fourth Proportional to 11,858.96, 17,782.86 and 6,930.02

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Solution

The fourth proportional to 11,858.96, 17,782.86 and 6,930.02 is: 10,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.96 : 17,782.86 = 6,930.02 : x
  2. Step 2: Convert to fraction form
    11,858.96/17,782.86 = 6,930.02/x
  3. Step 3: Cross multiply
    11,858.96x = 17,782.86 × 6,930.02
  4. Step 4: Simplify right side
    11,858.96x = 123,235,575.46
  5. Step 5: Solve for x
    x = 123,235,575.46/11,858.96
  6. Step 6: Final answer
    x = 10,391.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.