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Finding the Fourth Proportional to 11,904.05, 16,420.16 and 7,660.65

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Solution

The fourth proportional to 11,904.05, 16,420.16 and 7,660.65 is: 10,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.05 : 16,420.16 = 7,660.65 : x
  2. Step 2: Convert to fraction form
    11,904.05/16,420.16 = 7,660.65/x
  3. Step 3: Cross multiply
    11,904.05x = 16,420.16 × 7,660.65
  4. Step 4: Simplify right side
    11,904.05x = 125,789,098.70
  5. Step 5: Solve for x
    x = 125,789,098.70/11,904.05
  6. Step 6: Final answer
    x = 10,566.92

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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.