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Finding the Fourth Proportional to 10,415.03, 14,379.38 and 6,438.44

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Solution

The fourth proportional to 10,415.03, 14,379.38 and 6,438.44 is: 8,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.03 : 14,379.38 = 6,438.44 : x
  2. Step 2: Convert to fraction form
    10,415.03/14,379.38 = 6,438.44/x
  3. Step 3: Cross multiply
    10,415.03x = 14,379.38 × 6,438.44
  4. Step 4: Simplify right side
    10,415.03x = 92,580,671.28
  5. Step 5: Solve for x
    x = 92,580,671.28/10,415.03
  6. Step 6: Final answer
    x = 8,889.15

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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.