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Finding the Fourth Proportional to 11,606.87, 16,017.04 and 6,301.57

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Solution

The fourth proportional to 11,606.87, 16,017.04 and 6,301.57 is: 8,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.87 : 16,017.04 = 6,301.57 : x
  2. Step 2: Convert to fraction form
    11,606.87/16,017.04 = 6,301.57/x
  3. Step 3: Cross multiply
    11,606.87x = 16,017.04 × 6,301.57
  4. Step 4: Simplify right side
    11,606.87x = 100,932,467.24
  5. Step 5: Solve for x
    x = 100,932,467.24/11,606.87
  6. Step 6: Final answer
    x = 8,695.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.