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Finding the Fourth Proportional to 7,377.50, 11,059.02 and 4,083.63

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Solution

The fourth proportional to 7,377.50, 11,059.02 and 4,083.63 is: 6,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.50 : 11,059.02 = 4,083.63 : x
  2. Step 2: Convert to fraction form
    7,377.50/11,059.02 = 4,083.63/x
  3. Step 3: Cross multiply
    7,377.50x = 11,059.02 × 4,083.63
  4. Step 4: Simplify right side
    7,377.50x = 45,160,945.84
  5. Step 5: Solve for x
    x = 45,160,945.84/7,377.50
  6. Step 6: Final answer
    x = 6,121.45

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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.