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Finding the Fourth Proportional to 7,683.41, 11,515.53 and 3,295.74

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Solution

The fourth proportional to 7,683.41, 11,515.53 and 3,295.74 is: 4,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.41 : 11,515.53 = 3,295.74 : x
  2. Step 2: Convert to fraction form
    7,683.41/11,515.53 = 3,295.74/x
  3. Step 3: Cross multiply
    7,683.41x = 11,515.53 × 3,295.74
  4. Step 4: Simplify right side
    7,683.41x = 37,952,192.84
  5. Step 5: Solve for x
    x = 37,952,192.84/7,683.41
  6. Step 6: Final answer
    x = 4,939.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.