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Finding the Fourth Proportional to 7,645.71, 11,450.03 and 3,887.60

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Solution

The fourth proportional to 7,645.71, 11,450.03 and 3,887.60 is: 5,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.71 : 11,450.03 = 3,887.60 : x
  2. Step 2: Convert to fraction form
    7,645.71/11,450.03 = 3,887.60/x
  3. Step 3: Cross multiply
    7,645.71x = 11,450.03 × 3,887.60
  4. Step 4: Simplify right side
    7,645.71x = 44,513,145.82
  5. Step 5: Solve for x
    x = 44,513,145.82/7,645.71
  6. Step 6: Final answer
    x = 5,821.98

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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.