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Finding the Fourth Proportional to 8,297.07, 12,416.97 and 5,133.21

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Solution

The fourth proportional to 8,297.07, 12,416.97 and 5,133.21 is: 7,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.07 : 12,416.97 = 5,133.21 : x
  2. Step 2: Convert to fraction form
    8,297.07/12,416.97 = 5,133.21/x
  3. Step 3: Cross multiply
    8,297.07x = 12,416.97 × 5,133.21
  4. Step 4: Simplify right side
    8,297.07x = 63,738,888.91
  5. Step 5: Solve for x
    x = 63,738,888.91/8,297.07
  6. Step 6: Final answer
    x = 7,682.10

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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.