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Finding the Fourth Proportional to 11,632.80, 17,411.76 and 8,127.12

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Solution

The fourth proportional to 11,632.80, 17,411.76 and 8,127.12 is: 12,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.80 : 17,411.76 = 8,127.12 : x
  2. Step 2: Convert to fraction form
    11,632.80/17,411.76 = 8,127.12/x
  3. Step 3: Cross multiply
    11,632.80x = 17,411.76 × 8,127.12
  4. Step 4: Simplify right side
    11,632.80x = 141,507,462.93
  5. Step 5: Solve for x
    x = 141,507,462.93/11,632.80
  6. Step 6: Final answer
    x = 12,164.52

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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.