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Finding the Fourth Proportional to 12,782.60, 19,172.68 and 5,763.08

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Solution

The fourth proportional to 12,782.60, 19,172.68 and 5,763.08 is: 8,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.60 : 19,172.68 = 5,763.08 : x
  2. Step 2: Convert to fraction form
    12,782.60/19,172.68 = 5,763.08/x
  3. Step 3: Cross multiply
    12,782.60x = 19,172.68 × 5,763.08
  4. Step 4: Simplify right side
    12,782.60x = 110,493,688.65
  5. Step 5: Solve for x
    x = 110,493,688.65/12,782.60
  6. Step 6: Final answer
    x = 8,644.07

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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.