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Finding the Fourth Proportional to 8,284.87, 12,428.52 and 5,162.32

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Solution

The fourth proportional to 8,284.87, 12,428.52 and 5,162.32 is: 7,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.87 : 12,428.52 = 5,162.32 : x
  2. Step 2: Convert to fraction form
    8,284.87/12,428.52 = 5,162.32/x
  3. Step 3: Cross multiply
    8,284.87x = 12,428.52 × 5,162.32
  4. Step 4: Simplify right side
    8,284.87x = 64,159,997.37
  5. Step 5: Solve for x
    x = 64,159,997.37/8,284.87
  6. Step 6: Final answer
    x = 7,744.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.