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Finding the Fourth Proportional to 10,975.68, 16,470.72 and 8,045.04

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Solution

The fourth proportional to 10,975.68, 16,470.72 and 8,045.04 is: 12,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.68 : 16,470.72 = 8,045.04 : x
  2. Step 2: Convert to fraction form
    10,975.68/16,470.72 = 8,045.04/x
  3. Step 3: Cross multiply
    10,975.68x = 16,470.72 × 8,045.04
  4. Step 4: Simplify right side
    10,975.68x = 132,507,601.23
  5. Step 5: Solve for x
    x = 132,507,601.23/10,975.68
  6. Step 6: Final answer
    x = 12,072.84

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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.