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Finding the Fourth Proportional to 10,645.17, 14,689.22 and 6,170.33

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Solution

The fourth proportional to 10,645.17, 14,689.22 and 6,170.33 is: 8,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.17 : 14,689.22 = 6,170.33 : x
  2. Step 2: Convert to fraction form
    10,645.17/14,689.22 = 6,170.33/x
  3. Step 3: Cross multiply
    10,645.17x = 14,689.22 × 6,170.33
  4. Step 4: Simplify right side
    10,645.17x = 90,637,230.54
  5. Step 5: Solve for x
    x = 90,637,230.54/10,645.17
  6. Step 6: Final answer
    x = 8,514.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.