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Finding the Fourth Proportional to 7,740.75, 11,611.13 and 4,278

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Solution

The fourth proportional to 7,740.75, 11,611.13 and 4,278 is: 6,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.75 : 11,611.13 = 4,278 : x
  2. Step 2: Convert to fraction form
    7,740.75/11,611.13 = 4,278/x
  3. Step 3: Cross multiply
    7,740.75x = 11,611.13 × 4,278
  4. Step 4: Simplify right side
    7,740.75x = 49,672,392.75
  5. Step 5: Solve for x
    x = 49,672,392.75/7,740.75
  6. Step 6: Final answer
    x = 6,417

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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.