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Finding the Fourth Proportional to 8,214.95, 11,336.78 and 4,858.35

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Solution

The fourth proportional to 8,214.95, 11,336.78 and 4,858.35 is: 6,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.95 : 11,336.78 = 4,858.35 : x
  2. Step 2: Convert to fraction form
    8,214.95/11,336.78 = 4,858.35/x
  3. Step 3: Cross multiply
    8,214.95x = 11,336.78 × 4,858.35
  4. Step 4: Simplify right side
    8,214.95x = 55,077,987.42
  5. Step 5: Solve for x
    x = 55,077,987.42/8,214.95
  6. Step 6: Final answer
    x = 6,704.60

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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.