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Finding the Fourth Proportional to 12,037, 16,611.18 and 7,257.20

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Solution

The fourth proportional to 12,037, 16,611.18 and 7,257.20 is: 10,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037 : 16,611.18 = 7,257.20 : x
  2. Step 2: Convert to fraction form
    12,037/16,611.18 = 7,257.20/x
  3. Step 3: Cross multiply
    12,037x = 16,611.18 × 7,257.20
  4. Step 4: Simplify right side
    12,037x = 120,550,655.50
  5. Step 5: Solve for x
    x = 120,550,655.50/12,037
  6. Step 6: Final answer
    x = 10,015.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.