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Finding the Fourth Proportional to 7,505.70, 11,257.63 and 3,122.58

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Solution

The fourth proportional to 7,505.70, 11,257.63 and 3,122.58 is: 4,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.70 : 11,257.63 = 3,122.58 : x
  2. Step 2: Convert to fraction form
    7,505.70/11,257.63 = 3,122.58/x
  3. Step 3: Cross multiply
    7,505.70x = 11,257.63 × 3,122.58
  4. Step 4: Simplify right side
    7,505.70x = 35,152,902.26
  5. Step 5: Solve for x
    x = 35,152,902.26/7,505.70
  6. Step 6: Final answer
    x = 4,683.50

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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.