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Finding the Fourth Proportional to 7,778.40, 11,668.37 and 3,097.37

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Solution

The fourth proportional to 7,778.40, 11,668.37 and 3,097.37 is: 4,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.40 : 11,668.37 = 3,097.37 : x
  2. Step 2: Convert to fraction form
    7,778.40/11,668.37 = 3,097.37/x
  3. Step 3: Cross multiply
    7,778.40x = 11,668.37 × 3,097.37
  4. Step 4: Simplify right side
    7,778.40x = 36,141,185.36
  5. Step 5: Solve for x
    x = 36,141,185.36/7,778.40
  6. Step 6: Final answer
    x = 4,646.35

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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.