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Finding the Fourth Proportional to 11,561.94, 17,339.27 and 7,406.64

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Solution

The fourth proportional to 11,561.94, 17,339.27 and 7,406.64 is: 11,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.94 : 17,339.27 = 7,406.64 : x
  2. Step 2: Convert to fraction form
    11,561.94/17,339.27 = 7,406.64/x
  3. Step 3: Cross multiply
    11,561.94x = 17,339.27 × 7,406.64
  4. Step 4: Simplify right side
    11,561.94x = 128,425,693.72
  5. Step 5: Solve for x
    x = 128,425,693.72/11,561.94
  6. Step 6: Final answer
    x = 11,107.62

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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.