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Finding the Fourth Proportional to 11,900.84, 16,425.18 and 6,864.14

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Solution

The fourth proportional to 11,900.84, 16,425.18 and 6,864.14 is: 9,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.84 : 16,425.18 = 6,864.14 : x
  2. Step 2: Convert to fraction form
    11,900.84/16,425.18 = 6,864.14/x
  3. Step 3: Cross multiply
    11,900.84x = 16,425.18 × 6,864.14
  4. Step 4: Simplify right side
    11,900.84x = 112,744,735.05
  5. Step 5: Solve for x
    x = 112,744,735.05/11,900.84
  6. Step 6: Final answer
    x = 9,473.68

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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.