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Finding the Fourth Proportional to 7,757.04, 11,633.84 and 2,210.28

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Solution

The fourth proportional to 7,757.04, 11,633.84 and 2,210.28 is: 3,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.04 : 11,633.84 = 2,210.28 : x
  2. Step 2: Convert to fraction form
    7,757.04/11,633.84 = 2,210.28/x
  3. Step 3: Cross multiply
    7,757.04x = 11,633.84 × 2,210.28
  4. Step 4: Simplify right side
    7,757.04x = 25,714,032.82
  5. Step 5: Solve for x
    x = 25,714,032.82/7,757.04
  6. Step 6: Final answer
    x = 3,314.93

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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.