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Finding the Fourth Proportional to 10,014.81, 15,024.33 and 3,774.69

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Solution

The fourth proportional to 10,014.81, 15,024.33 and 3,774.69 is: 5,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.81 : 15,024.33 = 3,774.69 : x
  2. Step 2: Convert to fraction form
    10,014.81/15,024.33 = 3,774.69/x
  3. Step 3: Cross multiply
    10,014.81x = 15,024.33 × 3,774.69
  4. Step 4: Simplify right side
    10,014.81x = 56,712,188.21
  5. Step 5: Solve for x
    x = 56,712,188.21/10,014.81
  6. Step 6: Final answer
    x = 5,662.83

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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.