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Finding the Fourth Proportional to 8,282.21, 11,435.97 and 5,303.11

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Solution

The fourth proportional to 8,282.21, 11,435.97 and 5,303.11 is: 7,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.21 : 11,435.97 = 5,303.11 : x
  2. Step 2: Convert to fraction form
    8,282.21/11,435.97 = 5,303.11/x
  3. Step 3: Cross multiply
    8,282.21x = 11,435.97 × 5,303.11
  4. Step 4: Simplify right side
    8,282.21x = 60,646,206.87
  5. Step 5: Solve for x
    x = 60,646,206.87/8,282.21
  6. Step 6: Final answer
    x = 7,322.47

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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.