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Finding the Fourth Proportional to 7,647.35, 11,470.01 and 2,101.14

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Solution

The fourth proportional to 7,647.35, 11,470.01 and 2,101.14 is: 3,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.35 : 11,470.01 = 2,101.14 : x
  2. Step 2: Convert to fraction form
    7,647.35/11,470.01 = 2,101.14/x
  3. Step 3: Cross multiply
    7,647.35x = 11,470.01 × 2,101.14
  4. Step 4: Simplify right side
    7,647.35x = 24,100,086.31
  5. Step 5: Solve for x
    x = 24,100,086.31/7,647.35
  6. Step 6: Final answer
    x = 3,151.43

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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.