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Finding the Fourth Proportional to 7,774.32, 11,661.76 and 1,930.96

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Solution

The fourth proportional to 7,774.32, 11,661.76 and 1,930.96 is: 2,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.32 : 11,661.76 = 1,930.96 : x
  2. Step 2: Convert to fraction form
    7,774.32/11,661.76 = 1,930.96/x
  3. Step 3: Cross multiply
    7,774.32x = 11,661.76 × 1,930.96
  4. Step 4: Simplify right side
    7,774.32x = 22,518,392.09
  5. Step 5: Solve for x
    x = 22,518,392.09/7,774.32
  6. Step 6: Final answer
    x = 2,896.51

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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.