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Finding the Fourth Proportional to 12,762.04, 19,135.50 and 4,961.74

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Solution

The fourth proportional to 12,762.04, 19,135.50 and 4,961.74 is: 7,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.04 : 19,135.50 = 4,961.74 : x
  2. Step 2: Convert to fraction form
    12,762.04/19,135.50 = 4,961.74/x
  3. Step 3: Cross multiply
    12,762.04x = 19,135.50 × 4,961.74
  4. Step 4: Simplify right side
    12,762.04x = 94,945,375.77
  5. Step 5: Solve for x
    x = 94,945,375.77/12,762.04
  6. Step 6: Final answer
    x = 7,439.67

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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.