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Finding the Fourth Proportional to 11,681.74, 16,122.34 and 6,644.99

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Solution

The fourth proportional to 11,681.74, 16,122.34 and 6,644.99 is: 9,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.74 : 16,122.34 = 6,644.99 : x
  2. Step 2: Convert to fraction form
    11,681.74/16,122.34 = 6,644.99/x
  3. Step 3: Cross multiply
    11,681.74x = 16,122.34 × 6,644.99
  4. Step 4: Simplify right side
    11,681.74x = 107,132,746.00
  5. Step 5: Solve for x
    x = 107,132,746.00/11,681.74
  6. Step 6: Final answer
    x = 9,170.96

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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.