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Finding the Fourth Proportional to 8,526.94, 11,763.83 and 5,338.91

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Solution

The fourth proportional to 8,526.94, 11,763.83 and 5,338.91 is: 7,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.94 : 11,763.83 = 5,338.91 : x
  2. Step 2: Convert to fraction form
    8,526.94/11,763.83 = 5,338.91/x
  3. Step 3: Cross multiply
    8,526.94x = 11,763.83 × 5,338.91
  4. Step 4: Simplify right side
    8,526.94x = 62,806,072.38
  5. Step 5: Solve for x
    x = 62,806,072.38/8,526.94
  6. Step 6: Final answer
    x = 7,365.61

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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.