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Finding the Fourth Proportional to 15,800.08, 23,704 and 4,706.72

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Solution

The fourth proportional to 15,800.08, 23,704 and 4,706.72 is: 7,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.08 : 23,704 = 4,706.72 : x
  2. Step 2: Convert to fraction form
    15,800.08/23,704 = 4,706.72/x
  3. Step 3: Cross multiply
    15,800.08x = 23,704 × 4,706.72
  4. Step 4: Simplify right side
    15,800.08x = 111,568,090.88
  5. Step 5: Solve for x
    x = 111,568,090.88/15,800.08
  6. Step 6: Final answer
    x = 7,061.24

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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.