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Finding the Fourth Proportional to 11,633.86, 17,440.71 and 4,703.86

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Solution

The fourth proportional to 11,633.86, 17,440.71 and 4,703.86 is: 7,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.86 : 17,440.71 = 4,703.86 : x
  2. Step 2: Convert to fraction form
    11,633.86/17,440.71 = 4,703.86/x
  3. Step 3: Cross multiply
    11,633.86x = 17,440.71 × 4,703.86
  4. Step 4: Simplify right side
    11,633.86x = 82,038,658.14
  5. Step 5: Solve for x
    x = 82,038,658.14/11,633.86
  6. Step 6: Final answer
    x = 7,051.71

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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.