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Finding the Fourth Proportional to 8,175.11, 11,285.08 and 5,526.11

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Solution

The fourth proportional to 8,175.11, 11,285.08 and 5,526.11 is: 7,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.11 : 11,285.08 = 5,526.11 : x
  2. Step 2: Convert to fraction form
    8,175.11/11,285.08 = 5,526.11/x
  3. Step 3: Cross multiply
    8,175.11x = 11,285.08 × 5,526.11
  4. Step 4: Simplify right side
    8,175.11x = 62,362,537.01
  5. Step 5: Solve for x
    x = 62,362,537.01/8,175.11
  6. Step 6: Final answer
    x = 7,628.34

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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.