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Finding the Fourth Proportional to 7,805.41, 11,706.35 and 2,257.51

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Solution

The fourth proportional to 7,805.41, 11,706.35 and 2,257.51 is: 3,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.41 : 11,706.35 = 2,257.51 : x
  2. Step 2: Convert to fraction form
    7,805.41/11,706.35 = 2,257.51/x
  3. Step 3: Cross multiply
    7,805.41x = 11,706.35 × 2,257.51
  4. Step 4: Simplify right side
    7,805.41x = 26,427,202.19
  5. Step 5: Solve for x
    x = 26,427,202.19/7,805.41
  6. Step 6: Final answer
    x = 3,385.75

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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.