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Finding the Fourth Proportional to 11,315.52, 16,958.40 and 5,464.08

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Solution

The fourth proportional to 11,315.52, 16,958.40 and 5,464.08 is: 8,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.52 : 16,958.40 = 5,464.08 : x
  2. Step 2: Convert to fraction form
    11,315.52/16,958.40 = 5,464.08/x
  3. Step 3: Cross multiply
    11,315.52x = 16,958.40 × 5,464.08
  4. Step 4: Simplify right side
    11,315.52x = 92,662,054.27
  5. Step 5: Solve for x
    x = 92,662,054.27/11,315.52
  6. Step 6: Final answer
    x = 8,188.93

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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.