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Finding the Fourth Proportional to 7,647.43, 11,471.48 and 2,101.32

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Solution

The fourth proportional to 7,647.43, 11,471.48 and 2,101.32 is: 3,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.43 : 11,471.48 = 2,101.32 : x
  2. Step 2: Convert to fraction form
    7,647.43/11,471.48 = 2,101.32/x
  3. Step 3: Cross multiply
    7,647.43x = 11,471.48 × 2,101.32
  4. Step 4: Simplify right side
    7,647.43x = 24,105,250.35
  5. Step 5: Solve for x
    x = 24,105,250.35/7,647.43
  6. Step 6: Final answer
    x = 3,152.07

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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.