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Finding the Fourth Proportional to 8,723.56, 12,036.58 and 4,946.44

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Solution

The fourth proportional to 8,723.56, 12,036.58 and 4,946.44 is: 6,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.56 : 12,036.58 = 4,946.44 : x
  2. Step 2: Convert to fraction form
    8,723.56/12,036.58 = 4,946.44/x
  3. Step 3: Cross multiply
    8,723.56x = 12,036.58 × 4,946.44
  4. Step 4: Simplify right side
    8,723.56x = 59,538,220.78
  5. Step 5: Solve for x
    x = 59,538,220.78/8,723.56
  6. Step 6: Final answer
    x = 6,824.99

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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.