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Finding the Fourth Proportional to 11,535.57, 17,308.82 and 6,864.81

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Solution

The fourth proportional to 11,535.57, 17,308.82 and 6,864.81 is: 10,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.57 : 17,308.82 = 6,864.81 : x
  2. Step 2: Convert to fraction form
    11,535.57/17,308.82 = 6,864.81/x
  3. Step 3: Cross multiply
    11,535.57x = 17,308.82 × 6,864.81
  4. Step 4: Simplify right side
    11,535.57x = 118,821,726.30
  5. Step 5: Solve for x
    x = 118,821,726.30/11,535.57
  6. Step 6: Final answer
    x = 10,300.46

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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.