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Finding the Fourth Proportional to 10,782.72, 16,174.06 and 4,852.67

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Solution

The fourth proportional to 10,782.72, 16,174.06 and 4,852.67 is: 7,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.72 : 16,174.06 = 4,852.67 : x
  2. Step 2: Convert to fraction form
    10,782.72/16,174.06 = 4,852.67/x
  3. Step 3: Cross multiply
    10,782.72x = 16,174.06 × 4,852.67
  4. Step 4: Simplify right side
    10,782.72x = 78,487,282.74
  5. Step 5: Solve for x
    x = 78,487,282.74/10,782.72
  6. Step 6: Final answer
    x = 7,278.99

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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.