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Finding the Fourth Proportional to 11,682.14, 17,502.15 and 6,411.47

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Solution

The fourth proportional to 11,682.14, 17,502.15 and 6,411.47 is: 9,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.14 : 17,502.15 = 6,411.47 : x
  2. Step 2: Convert to fraction form
    11,682.14/17,502.15 = 6,411.47/x
  3. Step 3: Cross multiply
    11,682.14x = 17,502.15 × 6,411.47
  4. Step 4: Simplify right side
    11,682.14x = 112,214,509.66
  5. Step 5: Solve for x
    x = 112,214,509.66/11,682.14
  6. Step 6: Final answer
    x = 9,605.65

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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.