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Finding the Fourth Proportional to 7,558.14, 10,430.28 and 4,201.27

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Solution

The fourth proportional to 7,558.14, 10,430.28 and 4,201.27 is: 5,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.14 : 10,430.28 = 4,201.27 : x
  2. Step 2: Convert to fraction form
    7,558.14/10,430.28 = 4,201.27/x
  3. Step 3: Cross multiply
    7,558.14x = 10,430.28 × 4,201.27
  4. Step 4: Simplify right side
    7,558.14x = 43,820,375.70
  5. Step 5: Solve for x
    x = 43,820,375.70/7,558.14
  6. Step 6: Final answer
    x = 5,797.77

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