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Finding the Fourth Proportional to 11,522.88, 15,902.19 and 6,809.76

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Solution

The fourth proportional to 11,522.88, 15,902.19 and 6,809.76 is: 9,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.88 : 15,902.19 = 6,809.76 : x
  2. Step 2: Convert to fraction form
    11,522.88/15,902.19 = 6,809.76/x
  3. Step 3: Cross multiply
    11,522.88x = 15,902.19 × 6,809.76
  4. Step 4: Simplify right side
    11,522.88x = 108,290,097.37
  5. Step 5: Solve for x
    x = 108,290,097.37/11,522.88
  6. Step 6: Final answer
    x = 9,397.83

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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.