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Finding the Fourth Proportional to 11,441.30, 17,168.58 and 6,176.30

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Solution

The fourth proportional to 11,441.30, 17,168.58 and 6,176.30 is: 9,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.30 : 17,168.58 = 6,176.30 : x
  2. Step 2: Convert to fraction form
    11,441.30/17,168.58 = 6,176.30/x
  3. Step 3: Cross multiply
    11,441.30x = 17,168.58 × 6,176.30
  4. Step 4: Simplify right side
    11,441.30x = 106,038,214.81
  5. Step 5: Solve for x
    x = 106,038,214.81/11,441.30
  6. Step 6: Final answer
    x = 9,268.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.