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Finding the Fourth Proportional to 11,682.64, 16,127.88 and 7,437.92

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Solution

The fourth proportional to 11,682.64, 16,127.88 and 7,437.92 is: 10,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.64 : 16,127.88 = 7,437.92 : x
  2. Step 2: Convert to fraction form
    11,682.64/16,127.88 = 7,437.92/x
  3. Step 3: Cross multiply
    11,682.64x = 16,127.88 × 7,437.92
  4. Step 4: Simplify right side
    11,682.64x = 119,957,881.21
  5. Step 5: Solve for x
    x = 119,957,881.21/11,682.64
  6. Step 6: Final answer
    x = 10,268.05

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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.