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Finding the Fourth Proportional to 12,722.68, 19,078.74 and 4,927

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Solution

The fourth proportional to 12,722.68, 19,078.74 and 4,927 is: 7,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.68 : 19,078.74 = 4,927 : x
  2. Step 2: Convert to fraction form
    12,722.68/19,078.74 = 4,927/x
  3. Step 3: Cross multiply
    12,722.68x = 19,078.74 × 4,927
  4. Step 4: Simplify right side
    12,722.68x = 94,000,951.98
  5. Step 5: Solve for x
    x = 94,000,951.98/12,722.68
  6. Step 6: Final answer
    x = 7,388.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.