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Finding the Fourth Proportional to 11,681.98, 16,121.35 and 6,376.99

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Solution

The fourth proportional to 11,681.98, 16,121.35 and 6,376.99 is: 8,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.98 : 16,121.35 = 6,376.99 : x
  2. Step 2: Convert to fraction form
    11,681.98/16,121.35 = 6,376.99/x
  3. Step 3: Cross multiply
    11,681.98x = 16,121.35 × 6,376.99
  4. Step 4: Simplify right side
    11,681.98x = 102,805,607.13
  5. Step 5: Solve for x
    x = 102,805,607.13/11,681.98
  6. Step 6: Final answer
    x = 8,800.36

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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.