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Finding the Fourth Proportional to 25,803.73, 38,705.61 and 7,084.01

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Solution

The fourth proportional to 25,803.73, 38,705.61 and 7,084.01 is: 10,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.73 : 38,705.61 = 7,084.01 : x
  2. Step 2: Convert to fraction form
    25,803.73/38,705.61 = 7,084.01/x
  3. Step 3: Cross multiply
    25,803.73x = 38,705.61 × 7,084.01
  4. Step 4: Simplify right side
    25,803.73x = 274,190,928.30
  5. Step 5: Solve for x
    x = 274,190,928.30/25,803.73
  6. Step 6: Final answer
    x = 10,626.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.