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Finding the Fourth Proportional to 7,558.96, 10,431.18 and 4,201.60

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Solution

The fourth proportional to 7,558.96, 10,431.18 and 4,201.60 is: 5,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.96 : 10,431.18 = 4,201.60 : x
  2. Step 2: Convert to fraction form
    7,558.96/10,431.18 = 4,201.60/x
  3. Step 3: Cross multiply
    7,558.96x = 10,431.18 × 4,201.60
  4. Step 4: Simplify right side
    7,558.96x = 43,827,645.89
  5. Step 5: Solve for x
    x = 43,827,645.89/7,558.96
  6. Step 6: Final answer
    x = 5,798.11

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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.