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Finding the Fourth Proportional to 10,174.56, 15,264.22 and 3,154.21

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Solution

The fourth proportional to 10,174.56, 15,264.22 and 3,154.21 is: 4,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.56 : 15,264.22 = 3,154.21 : x
  2. Step 2: Convert to fraction form
    10,174.56/15,264.22 = 3,154.21/x
  3. Step 3: Cross multiply
    10,174.56x = 15,264.22 × 3,154.21
  4. Step 4: Simplify right side
    10,174.56x = 48,146,509.32
  5. Step 5: Solve for x
    x = 48,146,509.32/10,174.56
  6. Step 6: Final answer
    x = 4,732.05

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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.