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Finding the Fourth Proportional to 8,214.84, 11,336.29 and 4,629.98

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Solution

The fourth proportional to 8,214.84, 11,336.29 and 4,629.98 is: 6,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.84 : 11,336.29 = 4,629.98 : x
  2. Step 2: Convert to fraction form
    8,214.84/11,336.29 = 4,629.98/x
  3. Step 3: Cross multiply
    8,214.84x = 11,336.29 × 4,629.98
  4. Step 4: Simplify right side
    8,214.84x = 52,486,727.72
  5. Step 5: Solve for x
    x = 52,486,727.72/8,214.84
  6. Step 6: Final answer
    x = 6,389.26

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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.