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Finding the Fourth Proportional to 7,739.51, 11,604.10 and 2,808.50

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Solution

The fourth proportional to 7,739.51, 11,604.10 and 2,808.50 is: 4,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.51 : 11,604.10 = 2,808.50 : x
  2. Step 2: Convert to fraction form
    7,739.51/11,604.10 = 2,808.50/x
  3. Step 3: Cross multiply
    7,739.51x = 11,604.10 × 2,808.50
  4. Step 4: Simplify right side
    7,739.51x = 32,590,136.84
  5. Step 5: Solve for x
    x = 32,590,136.84/7,739.51
  6. Step 6: Final answer
    x = 4,210.88

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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.