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Finding the Fourth Proportional to 10,514.80, 15,773.82 and 4,971.16

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Solution

The fourth proportional to 10,514.80, 15,773.82 and 4,971.16 is: 7,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.80 : 15,773.82 = 4,971.16 : x
  2. Step 2: Convert to fraction form
    10,514.80/15,773.82 = 4,971.16/x
  3. Step 3: Cross multiply
    10,514.80x = 15,773.82 × 4,971.16
  4. Step 4: Simplify right side
    10,514.80x = 78,414,183.03
  5. Step 5: Solve for x
    x = 78,414,183.03/10,514.80
  6. Step 6: Final answer
    x = 7,457.51

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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.