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Finding the Fourth Proportional to 11,690.76, 17,537.28 and 4,669.11

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Solution

The fourth proportional to 11,690.76, 17,537.28 and 4,669.11 is: 7,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.76 : 17,537.28 = 4,669.11 : x
  2. Step 2: Convert to fraction form
    11,690.76/17,537.28 = 4,669.11/x
  3. Step 3: Cross multiply
    11,690.76x = 17,537.28 × 4,669.11
  4. Step 4: Simplify right side
    11,690.76x = 81,883,471.91
  5. Step 5: Solve for x
    x = 81,883,471.91/11,690.76
  6. Step 6: Final answer
    x = 7,004.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.