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Finding the Fourth Proportional to 11,666.94, 16,087.68 and 7,883.56

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Solution

The fourth proportional to 11,666.94, 16,087.68 and 7,883.56 is: 10,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.94 : 16,087.68 = 7,883.56 : x
  2. Step 2: Convert to fraction form
    11,666.94/16,087.68 = 7,883.56/x
  3. Step 3: Cross multiply
    11,666.94x = 16,087.68 × 7,883.56
  4. Step 4: Simplify right side
    11,666.94x = 126,828,210.65
  5. Step 5: Solve for x
    x = 126,828,210.65/11,666.94
  6. Step 6: Final answer
    x = 10,870.74

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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.