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Finding the Fourth Proportional to 7,615.80, 11,423.60 and 2,069.68

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Solution

The fourth proportional to 7,615.80, 11,423.60 and 2,069.68 is: 3,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.80 : 11,423.60 = 2,069.68 : x
  2. Step 2: Convert to fraction form
    7,615.80/11,423.60 = 2,069.68/x
  3. Step 3: Cross multiply
    7,615.80x = 11,423.60 × 2,069.68
  4. Step 4: Simplify right side
    7,615.80x = 23,643,196.45
  5. Step 5: Solve for x
    x = 23,643,196.45/7,615.80
  6. Step 6: Final answer
    x = 3,104.49

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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.