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Finding the Fourth Proportional to 7,704.66, 10,632.38 and 4,167.90

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Solution

The fourth proportional to 7,704.66, 10,632.38 and 4,167.90 is: 5,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.66 : 10,632.38 = 4,167.90 : x
  2. Step 2: Convert to fraction form
    7,704.66/10,632.38 = 4,167.90/x
  3. Step 3: Cross multiply
    7,704.66x = 10,632.38 × 4,167.90
  4. Step 4: Simplify right side
    7,704.66x = 44,314,707.02
  5. Step 5: Solve for x
    x = 44,314,707.02/7,704.66
  6. Step 6: Final answer
    x = 5,751.68

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Why These Related Problems?

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