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Finding the Fourth Proportional to 7,572.44, 10,450.46 and 5,052.94

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Solution

The fourth proportional to 7,572.44, 10,450.46 and 5,052.94 is: 6,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.44 : 10,450.46 = 5,052.94 : x
  2. Step 2: Convert to fraction form
    7,572.44/10,450.46 = 5,052.94/x
  3. Step 3: Cross multiply
    7,572.44x = 10,450.46 × 5,052.94
  4. Step 4: Simplify right side
    7,572.44x = 52,805,564.22
  5. Step 5: Solve for x
    x = 52,805,564.22/7,572.44
  6. Step 6: Final answer
    x = 6,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.