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Finding the Fourth Proportional to 11,314.62, 15,624.09 and 7,072.93

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Solution

The fourth proportional to 11,314.62, 15,624.09 and 7,072.93 is: 9,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.62 : 15,624.09 = 7,072.93 : x
  2. Step 2: Convert to fraction form
    11,314.62/15,624.09 = 7,072.93/x
  3. Step 3: Cross multiply
    11,314.62x = 15,624.09 × 7,072.93
  4. Step 4: Simplify right side
    11,314.62x = 110,508,016.76
  5. Step 5: Solve for x
    x = 110,508,016.76/11,314.62
  6. Step 6: Final answer
    x = 9,766.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.