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Finding the Fourth Proportional to 11,460.76, 17,211.59 and 9,384.73

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Solution

The fourth proportional to 11,460.76, 17,211.59 and 9,384.73 is: 14,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.76 : 17,211.59 = 9,384.73 : x
  2. Step 2: Convert to fraction form
    11,460.76/17,211.59 = 9,384.73/x
  3. Step 3: Cross multiply
    11,460.76x = 17,211.59 × 9,384.73
  4. Step 4: Simplify right side
    11,460.76x = 161,526,125.02
  5. Step 5: Solve for x
    x = 161,526,125.02/11,460.76
  6. Step 6: Final answer
    x = 14,093.84

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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.