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Finding the Fourth Proportional to 7,804.49, 11,706.39 and 2,257.71

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Solution

The fourth proportional to 7,804.49, 11,706.39 and 2,257.71 is: 3,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.49 : 11,706.39 = 2,257.71 : x
  2. Step 2: Convert to fraction form
    7,804.49/11,706.39 = 2,257.71/x
  3. Step 3: Cross multiply
    7,804.49x = 11,706.39 × 2,257.71
  4. Step 4: Simplify right side
    7,804.49x = 26,429,633.77
  5. Step 5: Solve for x
    x = 26,429,633.77/7,804.49
  6. Step 6: Final answer
    x = 3,386.47

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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.