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Finding the Fourth Proportional to 11,483.41, 15,845.88 and 6,448.19

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Solution

The fourth proportional to 11,483.41, 15,845.88 and 6,448.19 is: 8,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.41 : 15,845.88 = 6,448.19 : x
  2. Step 2: Convert to fraction form
    11,483.41/15,845.88 = 6,448.19/x
  3. Step 3: Cross multiply
    11,483.41x = 15,845.88 × 6,448.19
  4. Step 4: Simplify right side
    11,483.41x = 102,177,244.96
  5. Step 5: Solve for x
    x = 102,177,244.96/11,483.41
  6. Step 6: Final answer
    x = 8,897.81

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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.