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Finding the Fourth Proportional to 7,558.88, 10,430.66 and 4,201.43

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Solution

The fourth proportional to 7,558.88, 10,430.66 and 4,201.43 is: 5,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.88 : 10,430.66 = 4,201.43 : x
  2. Step 2: Convert to fraction form
    7,558.88/10,430.66 = 4,201.43/x
  3. Step 3: Cross multiply
    7,558.88x = 10,430.66 × 4,201.43
  4. Step 4: Simplify right side
    7,558.88x = 43,823,666.84
  5. Step 5: Solve for x
    x = 43,823,666.84/7,558.88
  6. Step 6: Final answer
    x = 5,797.64

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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.