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Finding the Fourth Proportional to 7,776.51, 11,660.98 and 2,842.80

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Solution

The fourth proportional to 7,776.51, 11,660.98 and 2,842.80 is: 4,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.51 : 11,660.98 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    7,776.51/11,660.98 = 2,842.80/x
  3. Step 3: Cross multiply
    7,776.51x = 11,660.98 × 2,842.80
  4. Step 4: Simplify right side
    7,776.51x = 33,149,833.94
  5. Step 5: Solve for x
    x = 33,149,833.94/7,776.51
  6. Step 6: Final answer
    x = 4,262.82

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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.