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Finding the Fourth Proportional to 7,910.76, 11,873.28 and 4,216.10

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Solution

The fourth proportional to 7,910.76, 11,873.28 and 4,216.10 is: 6,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.76 : 11,873.28 = 4,216.10 : x
  2. Step 2: Convert to fraction form
    7,910.76/11,873.28 = 4,216.10/x
  3. Step 3: Cross multiply
    7,910.76x = 11,873.28 × 4,216.10
  4. Step 4: Simplify right side
    7,910.76x = 50,058,935.81
  5. Step 5: Solve for x
    x = 50,058,935.81/7,910.76
  6. Step 6: Final answer
    x = 6,327.96

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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.