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Finding the Fourth Proportional to 11,686.82, 16,138.59 and 7,502.36

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Solution

The fourth proportional to 11,686.82, 16,138.59 and 7,502.36 is: 10,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.82 : 16,138.59 = 7,502.36 : x
  2. Step 2: Convert to fraction form
    11,686.82/16,138.59 = 7,502.36/x
  3. Step 3: Cross multiply
    11,686.82x = 16,138.59 × 7,502.36
  4. Step 4: Simplify right side
    11,686.82x = 121,077,512.07
  5. Step 5: Solve for x
    x = 121,077,512.07/11,686.82
  6. Step 6: Final answer
    x = 10,360.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.