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Finding the Fourth Proportional to 11,060.50, 16,598.04 and 4,135

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Solution

The fourth proportional to 11,060.50, 16,598.04 and 4,135 is: 6,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,060.50 : 16,598.04 = 4,135 : x
  2. Step 2: Convert to fraction form
    11,060.50/16,598.04 = 4,135/x
  3. Step 3: Cross multiply
    11,060.50x = 16,598.04 × 4,135
  4. Step 4: Simplify right side
    11,060.50x = 68,632,895.40
  5. Step 5: Solve for x
    x = 68,632,895.40/11,060.50
  6. Step 6: Final answer
    x = 6,205.23

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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.