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Finding the Fourth Proportional to 11,677.65, 17,525.81 and 6,134.26

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Solution

The fourth proportional to 11,677.65, 17,525.81 and 6,134.26 is: 9,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.65 : 17,525.81 = 6,134.26 : x
  2. Step 2: Convert to fraction form
    11,677.65/17,525.81 = 6,134.26/x
  3. Step 3: Cross multiply
    11,677.65x = 17,525.81 × 6,134.26
  4. Step 4: Simplify right side
    11,677.65x = 107,507,875.25
  5. Step 5: Solve for x
    x = 107,507,875.25/11,677.65
  6. Step 6: Final answer
    x = 9,206.29

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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.