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Finding the Fourth Proportional to 7,782.77, 11,670.10 and 2,783.22

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Solution

The fourth proportional to 7,782.77, 11,670.10 and 2,783.22 is: 4,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.77 : 11,670.10 = 2,783.22 : x
  2. Step 2: Convert to fraction form
    7,782.77/11,670.10 = 2,783.22/x
  3. Step 3: Cross multiply
    7,782.77x = 11,670.10 × 2,783.22
  4. Step 4: Simplify right side
    7,782.77x = 32,480,405.00
  5. Step 5: Solve for x
    x = 32,480,405.00/7,782.77
  6. Step 6: Final answer
    x = 4,173.37

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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.