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Finding the Fourth Proportional to 11,800.14, 16,278.75 and 7,609.74

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Solution

The fourth proportional to 11,800.14, 16,278.75 and 7,609.74 is: 10,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.14 : 16,278.75 = 7,609.74 : x
  2. Step 2: Convert to fraction form
    11,800.14/16,278.75 = 7,609.74/x
  3. Step 3: Cross multiply
    11,800.14x = 16,278.75 × 7,609.74
  4. Step 4: Simplify right side
    11,800.14x = 123,877,055.03
  5. Step 5: Solve for x
    x = 123,877,055.03/11,800.14
  6. Step 6: Final answer
    x = 10,497.93

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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.