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Finding the Fourth Proportional to 11,622.07, 16,045.79 and 7,649.83

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Solution

The fourth proportional to 11,622.07, 16,045.79 and 7,649.83 is: 10,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.07 : 16,045.79 = 7,649.83 : x
  2. Step 2: Convert to fraction form
    11,622.07/16,045.79 = 7,649.83/x
  3. Step 3: Cross multiply
    11,622.07x = 16,045.79 × 7,649.83
  4. Step 4: Simplify right side
    11,622.07x = 122,747,565.72
  5. Step 5: Solve for x
    x = 122,747,565.72/11,622.07
  6. Step 6: Final answer
    x = 10,561.59

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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.