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Finding the Fourth Proportional to 7,128.85, 10,689.90 and 4,168.15

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Solution

The fourth proportional to 7,128.85, 10,689.90 and 4,168.15 is: 6,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.85 : 10,689.90 = 4,168.15 : x
  2. Step 2: Convert to fraction form
    7,128.85/10,689.90 = 4,168.15/x
  3. Step 3: Cross multiply
    7,128.85x = 10,689.90 × 4,168.15
  4. Step 4: Simplify right side
    7,128.85x = 44,557,106.69
  5. Step 5: Solve for x
    x = 44,557,106.69/7,128.85
  6. Step 6: Final answer
    x = 6,250.25

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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.