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Finding the Fourth Proportional to 10,975.52, 16,458.41 and 7,884.56

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Solution

The fourth proportional to 10,975.52, 16,458.41 and 7,884.56 is: 11,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.52 : 16,458.41 = 7,884.56 : x
  2. Step 2: Convert to fraction form
    10,975.52/16,458.41 = 7,884.56/x
  3. Step 3: Cross multiply
    10,975.52x = 16,458.41 × 7,884.56
  4. Step 4: Simplify right side
    10,975.52x = 129,767,199.43
  5. Step 5: Solve for x
    x = 129,767,199.43/10,975.52
  6. Step 6: Final answer
    x = 11,823.34

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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.