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Finding the Fourth Proportional to 12,497.04, 18,742.10 and 3,729.87

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Solution

The fourth proportional to 12,497.04, 18,742.10 and 3,729.87 is: 5,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.04 : 18,742.10 = 3,729.87 : x
  2. Step 2: Convert to fraction form
    12,497.04/18,742.10 = 3,729.87/x
  3. Step 3: Cross multiply
    12,497.04x = 18,742.10 × 3,729.87
  4. Step 4: Simplify right side
    12,497.04x = 69,905,577.88
  5. Step 5: Solve for x
    x = 69,905,577.88/12,497.04
  6. Step 6: Final answer
    x = 5,593.77

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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.