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Finding the Fourth Proportional to 7,558.96, 10,429.86 and 4,414.54

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Solution

The fourth proportional to 7,558.96, 10,429.86 and 4,414.54 is: 6,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.96 : 10,429.86 = 4,414.54 : x
  2. Step 2: Convert to fraction form
    7,558.96/10,429.86 = 4,414.54/x
  3. Step 3: Cross multiply
    7,558.96x = 10,429.86 × 4,414.54
  4. Step 4: Simplify right side
    7,558.96x = 46,043,034.16
  5. Step 5: Solve for x
    x = 46,043,034.16/7,558.96
  6. Step 6: Final answer
    x = 6,091.19

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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.