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Finding the Fourth Proportional to 10,645.44, 14,689.44 and 5,929.44

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Solution

The fourth proportional to 10,645.44, 14,689.44 and 5,929.44 is: 8,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.44 : 14,689.44 = 5,929.44 : x
  2. Step 2: Convert to fraction form
    10,645.44/14,689.44 = 5,929.44/x
  3. Step 3: Cross multiply
    10,645.44x = 14,689.44 × 5,929.44
  4. Step 4: Simplify right side
    10,645.44x = 87,100,153.11
  5. Step 5: Solve for x
    x = 87,100,153.11/10,645.44
  6. Step 6: Final answer
    x = 8,181.92

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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.