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Finding the Fourth Proportional to 7,808.07, 11,713.82 and 2,261.64

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Solution

The fourth proportional to 7,808.07, 11,713.82 and 2,261.64 is: 3,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.07 : 11,713.82 = 2,261.64 : x
  2. Step 2: Convert to fraction form
    7,808.07/11,713.82 = 2,261.64/x
  3. Step 3: Cross multiply
    7,808.07x = 11,713.82 × 2,261.64
  4. Step 4: Simplify right side
    7,808.07x = 26,492,432.56
  5. Step 5: Solve for x
    x = 26,492,432.56/7,808.07
  6. Step 6: Final answer
    x = 3,392.96

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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.