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Finding the Fourth Proportional to 8,723.74, 12,040.49 and 4,946.98

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Solution

The fourth proportional to 8,723.74, 12,040.49 and 4,946.98 is: 6,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.74 : 12,040.49 = 4,946.98 : x
  2. Step 2: Convert to fraction form
    8,723.74/12,040.49 = 4,946.98/x
  3. Step 3: Cross multiply
    8,723.74x = 12,040.49 × 4,946.98
  4. Step 4: Simplify right side
    8,723.74x = 59,564,063.22
  5. Step 5: Solve for x
    x = 59,564,063.22/8,723.74
  6. Step 6: Final answer
    x = 6,827.81

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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.