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Finding the Fourth Proportional to 7,788.66, 11,673.27 and 3,894.18

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Solution

The fourth proportional to 7,788.66, 11,673.27 and 3,894.18 is: 5,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.66 : 11,673.27 = 3,894.18 : x
  2. Step 2: Convert to fraction form
    7,788.66/11,673.27 = 3,894.18/x
  3. Step 3: Cross multiply
    7,788.66x = 11,673.27 × 3,894.18
  4. Step 4: Simplify right side
    7,788.66x = 45,457,804.83
  5. Step 5: Solve for x
    x = 45,457,804.83/7,788.66
  6. Step 6: Final answer
    x = 5,836.41

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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.