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Finding the Fourth Proportional to 8,284.42, 11,433.92 and 5,300.11

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Solution

The fourth proportional to 8,284.42, 11,433.92 and 5,300.11 is: 7,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.42 : 11,433.92 = 5,300.11 : x
  2. Step 2: Convert to fraction form
    8,284.42/11,433.92 = 5,300.11/x
  3. Step 3: Cross multiply
    8,284.42x = 11,433.92 × 5,300.11
  4. Step 4: Simplify right side
    8,284.42x = 60,600,978.65
  5. Step 5: Solve for x
    x = 60,600,978.65/8,284.42
  6. Step 6: Final answer
    x = 7,315.06

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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.