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Finding the Fourth Proportional to 12,777.56, 19,166.12 and 5,752.62

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Solution

The fourth proportional to 12,777.56, 19,166.12 and 5,752.62 is: 8,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.56 : 19,166.12 = 5,752.62 : x
  2. Step 2: Convert to fraction form
    12,777.56/19,166.12 = 5,752.62/x
  3. Step 3: Cross multiply
    12,777.56x = 19,166.12 × 5,752.62
  4. Step 4: Simplify right side
    12,777.56x = 110,255,405.23
  5. Step 5: Solve for x
    x = 110,255,405.23/12,777.56
  6. Step 6: Final answer
    x = 8,628.83

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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.