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Finding the Fourth Proportional to 7,764.69, 11,648.85 and 2,570.56

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Solution

The fourth proportional to 7,764.69, 11,648.85 and 2,570.56 is: 3,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.69 : 11,648.85 = 2,570.56 : x
  2. Step 2: Convert to fraction form
    7,764.69/11,648.85 = 2,570.56/x
  3. Step 3: Cross multiply
    7,764.69x = 11,648.85 × 2,570.56
  4. Step 4: Simplify right side
    7,764.69x = 29,944,106.62
  5. Step 5: Solve for x
    x = 29,944,106.62/7,764.69
  6. Step 6: Final answer
    x = 3,856.45

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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.