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Finding the Fourth Proportional to 8,836.63, 12,194.76 and 4,858

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Solution

The fourth proportional to 8,836.63, 12,194.76 and 4,858 is: 6,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.63 : 12,194.76 = 4,858 : x
  2. Step 2: Convert to fraction form
    8,836.63/12,194.76 = 4,858/x
  3. Step 3: Cross multiply
    8,836.63x = 12,194.76 × 4,858
  4. Step 4: Simplify right side
    8,836.63x = 59,242,144.08
  5. Step 5: Solve for x
    x = 59,242,144.08/8,836.63
  6. Step 6: Final answer
    x = 6,704.16

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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.