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Finding the Fourth Proportional to 11,704.40, 16,155.24 and 6,990.80

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Solution

The fourth proportional to 11,704.40, 16,155.24 and 6,990.80 is: 9,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.40 : 16,155.24 = 6,990.80 : x
  2. Step 2: Convert to fraction form
    11,704.40/16,155.24 = 6,990.80/x
  3. Step 3: Cross multiply
    11,704.40x = 16,155.24 × 6,990.80
  4. Step 4: Simplify right side
    11,704.40x = 112,938,051.79
  5. Step 5: Solve for x
    x = 112,938,051.79/11,704.40
  6. Step 6: Final answer
    x = 9,649.20

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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.