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Finding the Fourth Proportional to 19,137.04, 28,705.52 and 5,286

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Solution

The fourth proportional to 19,137.04, 28,705.52 and 5,286 is: 7,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137.04 : 28,705.52 = 5,286 : x
  2. Step 2: Convert to fraction form
    19,137.04/28,705.52 = 5,286/x
  3. Step 3: Cross multiply
    19,137.04x = 28,705.52 × 5,286
  4. Step 4: Simplify right side
    19,137.04x = 151,737,378.72
  5. Step 5: Solve for x
    x = 151,737,378.72/19,137.04
  6. Step 6: Final answer
    x = 7,928.99

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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.