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Finding the Fourth Proportional to 11,039.30, 16,565.97 and 4,018.64

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Solution

The fourth proportional to 11,039.30, 16,565.97 and 4,018.64 is: 6,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.30 : 16,565.97 = 4,018.64 : x
  2. Step 2: Convert to fraction form
    11,039.30/16,565.97 = 4,018.64/x
  3. Step 3: Cross multiply
    11,039.30x = 16,565.97 × 4,018.64
  4. Step 4: Simplify right side
    11,039.30x = 66,572,586.85
  5. Step 5: Solve for x
    x = 66,572,586.85/11,039.30
  6. Step 6: Final answer
    x = 6,030.51

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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.