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Finding the Fourth Proportional to 11,842.01, 16,341.33 and 7,365.64

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Solution

The fourth proportional to 11,842.01, 16,341.33 and 7,365.64 is: 10,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.01 : 16,341.33 = 7,365.64 : x
  2. Step 2: Convert to fraction form
    11,842.01/16,341.33 = 7,365.64/x
  3. Step 3: Cross multiply
    11,842.01x = 16,341.33 × 7,365.64
  4. Step 4: Simplify right side
    11,842.01x = 120,364,353.90
  5. Step 5: Solve for x
    x = 120,364,353.90/11,842.01
  6. Step 6: Final answer
    x = 10,164.18

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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.