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Finding the Fourth Proportional to 7,406.30, 11,114 and 3,898.84

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Solution

The fourth proportional to 7,406.30, 11,114 and 3,898.84 is: 5,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.30 : 11,114 = 3,898.84 : x
  2. Step 2: Convert to fraction form
    7,406.30/11,114 = 3,898.84/x
  3. Step 3: Cross multiply
    7,406.30x = 11,114 × 3,898.84
  4. Step 4: Simplify right side
    7,406.30x = 43,331,707.76
  5. Step 5: Solve for x
    x = 43,331,707.76/7,406.30
  6. Step 6: Final answer
    x = 5,850.66

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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.