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Finding the Fourth Proportional to 8,301.30, 11,454.87 and 4,943.64

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Solution

The fourth proportional to 8,301.30, 11,454.87 and 4,943.64 is: 6,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.30 : 11,454.87 = 4,943.64 : x
  2. Step 2: Convert to fraction form
    8,301.30/11,454.87 = 4,943.64/x
  3. Step 3: Cross multiply
    8,301.30x = 11,454.87 × 4,943.64
  4. Step 4: Simplify right side
    8,301.30x = 56,628,753.53
  5. Step 5: Solve for x
    x = 56,628,753.53/8,301.30
  6. Step 6: Final answer
    x = 6,821.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.