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Finding the Fourth Proportional to 7,289.60, 10,910.10 and 5,102.60

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Solution

The fourth proportional to 7,289.60, 10,910.10 and 5,102.60 is: 7,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.60 : 10,910.10 = 5,102.60 : x
  2. Step 2: Convert to fraction form
    7,289.60/10,910.10 = 5,102.60/x
  3. Step 3: Cross multiply
    7,289.60x = 10,910.10 × 5,102.60
  4. Step 4: Simplify right side
    7,289.60x = 55,669,876.26
  5. Step 5: Solve for x
    x = 55,669,876.26/7,289.60
  6. Step 6: Final answer
    x = 7,636.89

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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.