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Finding the Fourth Proportional to 8,182.16, 11,296.60 and 5,040.16

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Solution

The fourth proportional to 8,182.16, 11,296.60 and 5,040.16 is: 6,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.16 : 11,296.60 = 5,040.16 : x
  2. Step 2: Convert to fraction form
    8,182.16/11,296.60 = 5,040.16/x
  3. Step 3: Cross multiply
    8,182.16x = 11,296.60 × 5,040.16
  4. Step 4: Simplify right side
    8,182.16x = 56,936,671.46
  5. Step 5: Solve for x
    x = 56,936,671.46/8,182.16
  6. Step 6: Final answer
    x = 6,958.64

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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.