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Finding the Fourth Proportional to 11,427.68, 15,771.51 and 6,393.18

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Solution

The fourth proportional to 11,427.68, 15,771.51 and 6,393.18 is: 8,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.68 : 15,771.51 = 6,393.18 : x
  2. Step 2: Convert to fraction form
    11,427.68/15,771.51 = 6,393.18/x
  3. Step 3: Cross multiply
    11,427.68x = 15,771.51 × 6,393.18
  4. Step 4: Simplify right side
    11,427.68x = 100,830,072.73
  5. Step 5: Solve for x
    x = 100,830,072.73/11,427.68
  6. Step 6: Final answer
    x = 8,823.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.