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Finding the Fourth Proportional to 11,704.04, 17,562 and 6,778.16

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Solution

The fourth proportional to 11,704.04, 17,562 and 6,778.16 is: 10,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.04 : 17,562 = 6,778.16 : x
  2. Step 2: Convert to fraction form
    11,704.04/17,562 = 6,778.16/x
  3. Step 3: Cross multiply
    11,704.04x = 17,562 × 6,778.16
  4. Step 4: Simplify right side
    11,704.04x = 119,038,045.92
  5. Step 5: Solve for x
    x = 119,038,045.92/11,704.04
  6. Step 6: Final answer
    x = 10,170.68

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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.