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Finding the Fourth Proportional to 7,124.69, 10,687.48 and 2,742.15

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Solution

The fourth proportional to 7,124.69, 10,687.48 and 2,742.15 is: 4,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.69 : 10,687.48 = 2,742.15 : x
  2. Step 2: Convert to fraction form
    7,124.69/10,687.48 = 2,742.15/x
  3. Step 3: Cross multiply
    7,124.69x = 10,687.48 × 2,742.15
  4. Step 4: Simplify right side
    7,124.69x = 29,306,706.50
  5. Step 5: Solve for x
    x = 29,306,706.50/7,124.69
  6. Step 6: Final answer
    x = 4,113.40

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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.