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Finding the Fourth Proportional to 7,104.75, 10,653.37 and 3,154.29

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Solution

The fourth proportional to 7,104.75, 10,653.37 and 3,154.29 is: 4,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.75 : 10,653.37 = 3,154.29 : x
  2. Step 2: Convert to fraction form
    7,104.75/10,653.37 = 3,154.29/x
  3. Step 3: Cross multiply
    7,104.75x = 10,653.37 × 3,154.29
  4. Step 4: Simplify right side
    7,104.75x = 33,603,818.46
  5. Step 5: Solve for x
    x = 33,603,818.46/7,104.75
  6. Step 6: Final answer
    x = 4,729.77

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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.