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Finding the Fourth Proportional to 11,620.20, 16,035.83 and 6,585.38

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Solution

The fourth proportional to 11,620.20, 16,035.83 and 6,585.38 is: 9,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.20 : 16,035.83 = 6,585.38 : x
  2. Step 2: Convert to fraction form
    11,620.20/16,035.83 = 6,585.38/x
  3. Step 3: Cross multiply
    11,620.20x = 16,035.83 × 6,585.38
  4. Step 4: Simplify right side
    11,620.20x = 105,602,034.17
  5. Step 5: Solve for x
    x = 105,602,034.17/11,620.20
  6. Step 6: Final answer
    x = 9,087.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.