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Finding the Fourth Proportional to 11,526.90, 15,896.62 and 7,546.56

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Solution

The fourth proportional to 11,526.90, 15,896.62 and 7,546.56 is: 10,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.90 : 15,896.62 = 7,546.56 : x
  2. Step 2: Convert to fraction form
    11,526.90/15,896.62 = 7,546.56/x
  3. Step 3: Cross multiply
    11,526.90x = 15,896.62 × 7,546.56
  4. Step 4: Simplify right side
    11,526.90x = 119,964,796.63
  5. Step 5: Solve for x
    x = 119,964,796.63/11,526.90
  6. Step 6: Final answer
    x = 10,407.38

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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.