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Finding the Fourth Proportional to 10,514.40, 15,745.62 and 6,805.22

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Solution

The fourth proportional to 10,514.40, 15,745.62 and 6,805.22 is: 10,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.40 : 15,745.62 = 6,805.22 : x
  2. Step 2: Convert to fraction form
    10,514.40/15,745.62 = 6,805.22/x
  3. Step 3: Cross multiply
    10,514.40x = 15,745.62 × 6,805.22
  4. Step 4: Simplify right side
    10,514.40x = 107,152,408.14
  5. Step 5: Solve for x
    x = 107,152,408.14/10,514.40
  6. Step 6: Final answer
    x = 10,191.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.