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Finding the Fourth Proportional to 11,602.60, 16,013.24 and 7,635.22

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Solution

The fourth proportional to 11,602.60, 16,013.24 and 7,635.22 is: 10,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.60 : 16,013.24 = 7,635.22 : x
  2. Step 2: Convert to fraction form
    11,602.60/16,013.24 = 7,635.22/x
  3. Step 3: Cross multiply
    11,602.60x = 16,013.24 × 7,635.22
  4. Step 4: Simplify right side
    11,602.60x = 122,264,610.31
  5. Step 5: Solve for x
    x = 122,264,610.31/11,602.60
  6. Step 6: Final answer
    x = 10,537.69

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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.