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Finding the Fourth Proportional to 7,558.43, 10,430.43 and 4,201.16

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Solution

The fourth proportional to 7,558.43, 10,430.43 and 4,201.16 is: 5,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.43 : 10,430.43 = 4,201.16 : x
  2. Step 2: Convert to fraction form
    7,558.43/10,430.43 = 4,201.16/x
  3. Step 3: Cross multiply
    7,558.43x = 10,430.43 × 4,201.16
  4. Step 4: Simplify right side
    7,558.43x = 43,819,905.30
  5. Step 5: Solve for x
    x = 43,819,905.30/7,558.43
  6. Step 6: Final answer
    x = 5,797.49

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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.