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Finding the Fourth Proportional to 6,986.62, 10,469.63 and 5,223.35

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Solution

The fourth proportional to 6,986.62, 10,469.63 and 5,223.35 is: 7,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.62 : 10,469.63 = 5,223.35 : x
  2. Step 2: Convert to fraction form
    6,986.62/10,469.63 = 5,223.35/x
  3. Step 3: Cross multiply
    6,986.62x = 10,469.63 × 5,223.35
  4. Step 4: Simplify right side
    6,986.62x = 54,686,489.51
  5. Step 5: Solve for x
    x = 54,686,489.51/6,986.62
  6. Step 6: Final answer
    x = 7,827.32

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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.