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Finding the Fourth Proportional to 8,513.51, 12,765.04 and 3,514.33

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Solution

The fourth proportional to 8,513.51, 12,765.04 and 3,514.33 is: 5,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.51 : 12,765.04 = 3,514.33 : x
  2. Step 2: Convert to fraction form
    8,513.51/12,765.04 = 3,514.33/x
  3. Step 3: Cross multiply
    8,513.51x = 12,765.04 × 3,514.33
  4. Step 4: Simplify right side
    8,513.51x = 44,860,563.02
  5. Step 5: Solve for x
    x = 44,860,563.02/8,513.51
  6. Step 6: Final answer
    x = 5,269.34

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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.