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Finding the Fourth Proportional to 10,611.91, 15,895.98 and 6,216.04

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Solution

The fourth proportional to 10,611.91, 15,895.98 and 6,216.04 is: 9,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.91 : 15,895.98 = 6,216.04 : x
  2. Step 2: Convert to fraction form
    10,611.91/15,895.98 = 6,216.04/x
  3. Step 3: Cross multiply
    10,611.91x = 15,895.98 × 6,216.04
  4. Step 4: Simplify right side
    10,611.91x = 98,809,983.58
  5. Step 5: Solve for x
    x = 98,809,983.58/10,611.91
  6. Step 6: Final answer
    x = 9,311.24

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Why These Related Problems?

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