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Finding the Fourth Proportional to 11,842.28, 16,341.86 and 6,537.32

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Solution

The fourth proportional to 11,842.28, 16,341.86 and 6,537.32 is: 9,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.28 : 16,341.86 = 6,537.32 : x
  2. Step 2: Convert to fraction form
    11,842.28/16,341.86 = 6,537.32/x
  3. Step 3: Cross multiply
    11,842.28x = 16,341.86 × 6,537.32
  4. Step 4: Simplify right side
    11,842.28x = 106,831,968.22
  5. Step 5: Solve for x
    x = 106,831,968.22/11,842.28
  6. Step 6: Final answer
    x = 9,021.23

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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.