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Finding the Fourth Proportional to 11,981.95, 16,538.04 and 7,737.75

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Solution

The fourth proportional to 11,981.95, 16,538.04 and 7,737.75 is: 10,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.95 : 16,538.04 = 7,737.75 : x
  2. Step 2: Convert to fraction form
    11,981.95/16,538.04 = 7,737.75/x
  3. Step 3: Cross multiply
    11,981.95x = 16,538.04 × 7,737.75
  4. Step 4: Simplify right side
    11,981.95x = 127,967,219.01
  5. Step 5: Solve for x
    x = 127,967,219.01/11,981.95
  6. Step 6: Final answer
    x = 10,680.00

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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.