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Finding the Fourth Proportional to 8,301.95, 11,451.45 and 4,942.25

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Solution

The fourth proportional to 8,301.95, 11,451.45 and 4,942.25 is: 6,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.95 : 11,451.45 = 4,942.25 : x
  2. Step 2: Convert to fraction form
    8,301.95/11,451.45 = 4,942.25/x
  3. Step 3: Cross multiply
    8,301.95x = 11,451.45 × 4,942.25
  4. Step 4: Simplify right side
    8,301.95x = 56,595,928.76
  5. Step 5: Solve for x
    x = 56,595,928.76/8,301.95
  6. Step 6: Final answer
    x = 6,817.18

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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.