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Finding the Fourth Proportional to 11,842.42, 16,342.08 and 6,537.19

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Solution

The fourth proportional to 11,842.42, 16,342.08 and 6,537.19 is: 9,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.42 : 16,342.08 = 6,537.19 : x
  2. Step 2: Convert to fraction form
    11,842.42/16,342.08 = 6,537.19/x
  3. Step 3: Cross multiply
    11,842.42x = 16,342.08 × 6,537.19
  4. Step 4: Simplify right side
    11,842.42x = 106,831,281.96
  5. Step 5: Solve for x
    x = 106,831,281.96/11,842.42
  6. Step 6: Final answer
    x = 9,021.07

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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.