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Finding the Fourth Proportional to 10,089.81, 15,134.73 and 3,514.41

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Solution

The fourth proportional to 10,089.81, 15,134.73 and 3,514.41 is: 5,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.81 : 15,134.73 = 3,514.41 : x
  2. Step 2: Convert to fraction form
    10,089.81/15,134.73 = 3,514.41/x
  3. Step 3: Cross multiply
    10,089.81x = 15,134.73 × 3,514.41
  4. Step 4: Simplify right side
    10,089.81x = 53,189,646.46
  5. Step 5: Solve for x
    x = 53,189,646.46/10,089.81
  6. Step 6: Final answer
    x = 5,271.62

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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.