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Finding the Fourth Proportional to 7,289.30, 10,917.50 and 5,107.76

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Solution

The fourth proportional to 7,289.30, 10,917.50 and 5,107.76 is: 7,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.30 : 10,917.50 = 5,107.76 : x
  2. Step 2: Convert to fraction form
    7,289.30/10,917.50 = 5,107.76/x
  3. Step 3: Cross multiply
    7,289.30x = 10,917.50 × 5,107.76
  4. Step 4: Simplify right side
    7,289.30x = 55,763,969.80
  5. Step 5: Solve for x
    x = 55,763,969.80/7,289.30
  6. Step 6: Final answer
    x = 7,650.11

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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.