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Finding the Fourth Proportional to 11,474.34, 17,210.88 and 3,154.20

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Solution

The fourth proportional to 11,474.34, 17,210.88 and 3,154.20 is: 4,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.34 : 17,210.88 = 3,154.20 : x
  2. Step 2: Convert to fraction form
    11,474.34/17,210.88 = 3,154.20/x
  3. Step 3: Cross multiply
    11,474.34x = 17,210.88 × 3,154.20
  4. Step 4: Simplify right side
    11,474.34x = 54,286,557.70
  5. Step 5: Solve for x
    x = 54,286,557.70/11,474.34
  6. Step 6: Final answer
    x = 4,731.13

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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.