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Finding the Fourth Proportional to 7,707.58, 11,561.37 and 1,864.19

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Solution

The fourth proportional to 7,707.58, 11,561.37 and 1,864.19 is: 2,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.58 : 11,561.37 = 1,864.19 : x
  2. Step 2: Convert to fraction form
    7,707.58/11,561.37 = 1,864.19/x
  3. Step 3: Cross multiply
    7,707.58x = 11,561.37 × 1,864.19
  4. Step 4: Simplify right side
    7,707.58x = 21,552,619.24
  5. Step 5: Solve for x
    x = 21,552,619.24/7,707.58
  6. Step 6: Final answer
    x = 2,796.29

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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.