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Finding the Fourth Proportional to 11,778.16, 17,658.74 and 5,938.88

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Solution

The fourth proportional to 11,778.16, 17,658.74 and 5,938.88 is: 8,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.16 : 17,658.74 = 5,938.88 : x
  2. Step 2: Convert to fraction form
    11,778.16/17,658.74 = 5,938.88/x
  3. Step 3: Cross multiply
    11,778.16x = 17,658.74 × 5,938.88
  4. Step 4: Simplify right side
    11,778.16x = 104,873,137.81
  5. Step 5: Solve for x
    x = 104,873,137.81/11,778.16
  6. Step 6: Final answer
    x = 8,904.03

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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.