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Finding the Fourth Proportional to 7,027.08, 9,699.12 and 5,141.40

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Solution

The fourth proportional to 7,027.08, 9,699.12 and 5,141.40 is: 7,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.08 : 9,699.12 = 5,141.40 : x
  2. Step 2: Convert to fraction form
    7,027.08/9,699.12 = 5,141.40/x
  3. Step 3: Cross multiply
    7,027.08x = 9,699.12 × 5,141.40
  4. Step 4: Simplify right side
    7,027.08x = 49,867,055.57
  5. Step 5: Solve for x
    x = 49,867,055.57/7,027.08
  6. Step 6: Final answer
    x = 7,096.41

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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.