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Finding the Fourth Proportional to 11,892.56, 16,412.32 and 7,176.76

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Solution

The fourth proportional to 11,892.56, 16,412.32 and 7,176.76 is: 9,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.56 : 16,412.32 = 7,176.76 : x
  2. Step 2: Convert to fraction form
    11,892.56/16,412.32 = 7,176.76/x
  3. Step 3: Cross multiply
    11,892.56x = 16,412.32 × 7,176.76
  4. Step 4: Simplify right side
    11,892.56x = 117,787,281.68
  5. Step 5: Solve for x
    x = 117,787,281.68/11,892.56
  6. Step 6: Final answer
    x = 9,904.28

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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.