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Finding the Fourth Proportional to 7,886.41, 11,830.25 and 2,621.23

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Solution

The fourth proportional to 7,886.41, 11,830.25 and 2,621.23 is: 3,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.41 : 11,830.25 = 2,621.23 : x
  2. Step 2: Convert to fraction form
    7,886.41/11,830.25 = 2,621.23/x
  3. Step 3: Cross multiply
    7,886.41x = 11,830.25 × 2,621.23
  4. Step 4: Simplify right side
    7,886.41x = 31,009,806.21
  5. Step 5: Solve for x
    x = 31,009,806.21/7,886.41
  6. Step 6: Final answer
    x = 3,932.06

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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.