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Finding the Fourth Proportional to 11,082.32, 16,629.69 and 5,888.06

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Solution

The fourth proportional to 11,082.32, 16,629.69 and 5,888.06 is: 8,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.32 : 16,629.69 = 5,888.06 : x
  2. Step 2: Convert to fraction form
    11,082.32/16,629.69 = 5,888.06/x
  3. Step 3: Cross multiply
    11,082.32x = 16,629.69 × 5,888.06
  4. Step 4: Simplify right side
    11,082.32x = 97,916,612.50
  5. Step 5: Solve for x
    x = 97,916,612.50/11,082.32
  6. Step 6: Final answer
    x = 8,835.39

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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.