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Finding the Fourth Proportional to 10,419.54, 14,381.64 and 6,438.38

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Solution

The fourth proportional to 10,419.54, 14,381.64 and 6,438.38 is: 8,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.54 : 14,381.64 = 6,438.38 : x
  2. Step 2: Convert to fraction form
    10,419.54/14,381.64 = 6,438.38/x
  3. Step 3: Cross multiply
    10,419.54x = 14,381.64 × 6,438.38
  4. Step 4: Simplify right side
    10,419.54x = 92,594,391.44
  5. Step 5: Solve for x
    x = 92,594,391.44/10,419.54
  6. Step 6: Final answer
    x = 8,886.61

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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.