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Finding the Fourth Proportional to 11,130.50, 16,704.22 and 4,117.16

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Solution

The fourth proportional to 11,130.50, 16,704.22 and 4,117.16 is: 6,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.50 : 16,704.22 = 4,117.16 : x
  2. Step 2: Convert to fraction form
    11,130.50/16,704.22 = 4,117.16/x
  3. Step 3: Cross multiply
    11,130.50x = 16,704.22 × 4,117.16
  4. Step 4: Simplify right side
    11,130.50x = 68,773,852.60
  5. Step 5: Solve for x
    x = 68,773,852.60/11,130.50
  6. Step 6: Final answer
    x = 6,178.86

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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.