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Finding the Fourth Proportional to 7,558.23, 10,431 and 4,201.69

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Solution

The fourth proportional to 7,558.23, 10,431 and 4,201.69 is: 5,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.23 : 10,431 = 4,201.69 : x
  2. Step 2: Convert to fraction form
    7,558.23/10,431 = 4,201.69/x
  3. Step 3: Cross multiply
    7,558.23x = 10,431 × 4,201.69
  4. Step 4: Simplify right side
    7,558.23x = 43,827,776.24
  5. Step 5: Solve for x
    x = 43,827,776.24/7,558.23
  6. Step 6: Final answer
    x = 5,798.69

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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.