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Finding the Fourth Proportional to 12,782.90, 19,170.56 and 5,758.86

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Solution

The fourth proportional to 12,782.90, 19,170.56 and 5,758.86 is: 8,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.90 : 19,170.56 = 5,758.86 : x
  2. Step 2: Convert to fraction form
    12,782.90/19,170.56 = 5,758.86/x
  3. Step 3: Cross multiply
    12,782.90x = 19,170.56 × 5,758.86
  4. Step 4: Simplify right side
    12,782.90x = 110,400,571.16
  5. Step 5: Solve for x
    x = 110,400,571.16/12,782.90
  6. Step 6: Final answer
    x = 8,636.58

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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.