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Finding the Fourth Proportional to 8,176.72, 11,284.04 and 5,034.32

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Solution

The fourth proportional to 8,176.72, 11,284.04 and 5,034.32 is: 6,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.72 : 11,284.04 = 5,034.32 : x
  2. Step 2: Convert to fraction form
    8,176.72/11,284.04 = 5,034.32/x
  3. Step 3: Cross multiply
    8,176.72x = 11,284.04 × 5,034.32
  4. Step 4: Simplify right side
    8,176.72x = 56,807,468.25
  5. Step 5: Solve for x
    x = 56,807,468.25/8,176.72
  6. Step 6: Final answer
    x = 6,947.46

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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.