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Finding the Fourth Proportional to 7,656.13, 11,486.92 and 3,763.27

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Solution

The fourth proportional to 7,656.13, 11,486.92 and 3,763.27 is: 5,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.13 : 11,486.92 = 3,763.27 : x
  2. Step 2: Convert to fraction form
    7,656.13/11,486.92 = 3,763.27/x
  3. Step 3: Cross multiply
    7,656.13x = 11,486.92 × 3,763.27
  4. Step 4: Simplify right side
    7,656.13x = 43,228,323.99
  5. Step 5: Solve for x
    x = 43,228,323.99/7,656.13
  6. Step 6: Final answer
    x = 5,646.24

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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.