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Finding the Fourth Proportional to 7,778.32, 11,668.13 and 2,846.77

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Solution

The fourth proportional to 7,778.32, 11,668.13 and 2,846.77 is: 4,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.32 : 11,668.13 = 2,846.77 : x
  2. Step 2: Convert to fraction form
    7,778.32/11,668.13 = 2,846.77/x
  3. Step 3: Cross multiply
    7,778.32x = 11,668.13 × 2,846.77
  4. Step 4: Simplify right side
    7,778.32x = 33,216,482.44
  5. Step 5: Solve for x
    x = 33,216,482.44/7,778.32
  6. Step 6: Final answer
    x = 4,270.39

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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.