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Finding the Fourth Proportional to 11,466.46, 17,199.71 and 3,146.59

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Solution

The fourth proportional to 11,466.46, 17,199.71 and 3,146.59 is: 4,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.46 : 17,199.71 = 3,146.59 : x
  2. Step 2: Convert to fraction form
    11,466.46/17,199.71 = 3,146.59/x
  3. Step 3: Cross multiply
    11,466.46x = 17,199.71 × 3,146.59
  4. Step 4: Simplify right side
    11,466.46x = 54,120,376.76
  5. Step 5: Solve for x
    x = 54,120,376.76/11,466.46
  6. Step 6: Final answer
    x = 4,719.89

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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.