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Finding the Fourth Proportional to 10,083.83, 15,130.19 and 3,514.73

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Solution

The fourth proportional to 10,083.83, 15,130.19 and 3,514.73 is: 5,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.83 : 15,130.19 = 3,514.73 : x
  2. Step 2: Convert to fraction form
    10,083.83/15,130.19 = 3,514.73/x
  3. Step 3: Cross multiply
    10,083.83x = 15,130.19 × 3,514.73
  4. Step 4: Simplify right side
    10,083.83x = 53,178,465.83
  5. Step 5: Solve for x
    x = 53,178,465.83/10,083.83
  6. Step 6: Final answer
    x = 5,273.64

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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.