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Finding the Fourth Proportional to 10,611.84, 15,920.46 and 6,232.98

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Solution

The fourth proportional to 10,611.84, 15,920.46 and 6,232.98 is: 9,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.84 : 15,920.46 = 6,232.98 : x
  2. Step 2: Convert to fraction form
    10,611.84/15,920.46 = 6,232.98/x
  3. Step 3: Cross multiply
    10,611.84x = 15,920.46 × 6,232.98
  4. Step 4: Simplify right side
    10,611.84x = 99,231,908.77
  5. Step 5: Solve for x
    x = 99,231,908.77/10,611.84
  6. Step 6: Final answer
    x = 9,351.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.