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Finding the Fourth Proportional to 11,461.41, 15,804.75 and 8,483.49

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Solution

The fourth proportional to 11,461.41, 15,804.75 and 8,483.49 is: 11,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.41 : 15,804.75 = 8,483.49 : x
  2. Step 2: Convert to fraction form
    11,461.41/15,804.75 = 8,483.49/x
  3. Step 3: Cross multiply
    11,461.41x = 15,804.75 × 8,483.49
  4. Step 4: Simplify right side
    11,461.41x = 134,079,438.58
  5. Step 5: Solve for x
    x = 134,079,438.58/11,461.41
  6. Step 6: Final answer
    x = 11,698.34

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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.