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Finding the Fourth Proportional to 11,292.14, 15,584.93 and 6,446.88

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Solution

The fourth proportional to 11,292.14, 15,584.93 and 6,446.88 is: 8,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.14 : 15,584.93 = 6,446.88 : x
  2. Step 2: Convert to fraction form
    11,292.14/15,584.93 = 6,446.88/x
  3. Step 3: Cross multiply
    11,292.14x = 15,584.93 × 6,446.88
  4. Step 4: Simplify right side
    11,292.14x = 100,474,173.52
  5. Step 5: Solve for x
    x = 100,474,173.52/11,292.14
  6. Step 6: Final answer
    x = 8,897.71

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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.