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Finding the Fourth Proportional to 10,014.46, 15,021.72 and 4,171

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Solution

The fourth proportional to 10,014.46, 15,021.72 and 4,171 is: 6,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.46 : 15,021.72 = 4,171 : x
  2. Step 2: Convert to fraction form
    10,014.46/15,021.72 = 4,171/x
  3. Step 3: Cross multiply
    10,014.46x = 15,021.72 × 4,171
  4. Step 4: Simplify right side
    10,014.46x = 62,655,594.12
  5. Step 5: Solve for x
    x = 62,655,594.12/10,014.46
  6. Step 6: Final answer
    x = 6,256.51

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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.