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Finding the Fourth Proportional to 11,681.76, 16,121.04 and 6,376.80

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Solution

The fourth proportional to 11,681.76, 16,121.04 and 6,376.80 is: 8,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.76 : 16,121.04 = 6,376.80 : x
  2. Step 2: Convert to fraction form
    11,681.76/16,121.04 = 6,376.80/x
  3. Step 3: Cross multiply
    11,681.76x = 16,121.04 × 6,376.80
  4. Step 4: Simplify right side
    11,681.76x = 102,800,647.87
  5. Step 5: Solve for x
    x = 102,800,647.87/11,681.76
  6. Step 6: Final answer
    x = 8,800.10

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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.