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Finding the Fourth Proportional to 11,773.72, 17,658.99 and 4,377.16

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Solution

The fourth proportional to 11,773.72, 17,658.99 and 4,377.16 is: 6,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.72 : 17,658.99 = 4,377.16 : x
  2. Step 2: Convert to fraction form
    11,773.72/17,658.99 = 4,377.16/x
  3. Step 3: Cross multiply
    11,773.72x = 17,658.99 × 4,377.16
  4. Step 4: Simplify right side
    11,773.72x = 77,296,224.67
  5. Step 5: Solve for x
    x = 77,296,224.67/11,773.72
  6. Step 6: Final answer
    x = 6,565.15

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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.