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Finding the Fourth Proportional to 11,900.63, 16,422.84 and 6,864.77

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Solution

The fourth proportional to 11,900.63, 16,422.84 and 6,864.77 is: 9,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.63 : 16,422.84 = 6,864.77 : x
  2. Step 2: Convert to fraction form
    11,900.63/16,422.84 = 6,864.77/x
  3. Step 3: Cross multiply
    11,900.63x = 16,422.84 × 6,864.77
  4. Step 4: Simplify right side
    11,900.63x = 112,739,019.35
  5. Step 5: Solve for x
    x = 112,739,019.35/11,900.63
  6. Step 6: Final answer
    x = 9,473.37

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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.