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Finding the Fourth Proportional to 10,480.34, 15,722.44 and 3,460.84

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Solution

The fourth proportional to 10,480.34, 15,722.44 and 3,460.84 is: 5,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.34 : 15,722.44 = 3,460.84 : x
  2. Step 2: Convert to fraction form
    10,480.34/15,722.44 = 3,460.84/x
  3. Step 3: Cross multiply
    10,480.34x = 15,722.44 × 3,460.84
  4. Step 4: Simplify right side
    10,480.34x = 54,412,849.25
  5. Step 5: Solve for x
    x = 54,412,849.25/10,480.34
  6. Step 6: Final answer
    x = 5,191.90

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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.