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Finding the Fourth Proportional to 13,410.45, 18,505.40 and 7,742.61

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Solution

The fourth proportional to 13,410.45, 18,505.40 and 7,742.61 is: 10,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.45 : 18,505.40 = 7,742.61 : x
  2. Step 2: Convert to fraction form
    13,410.45/18,505.40 = 7,742.61/x
  3. Step 3: Cross multiply
    13,410.45x = 18,505.40 × 7,742.61
  4. Step 4: Simplify right side
    13,410.45x = 143,280,056.38
  5. Step 5: Solve for x
    x = 143,280,056.38/13,410.45
  6. Step 6: Final answer
    x = 10,684.21

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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.