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Finding the Fourth Proportional to 8,765.07, 13,151.71 and 3,834.07

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Solution

The fourth proportional to 8,765.07, 13,151.71 and 3,834.07 is: 5,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.07 : 13,151.71 = 3,834.07 : x
  2. Step 2: Convert to fraction form
    8,765.07/13,151.71 = 3,834.07/x
  3. Step 3: Cross multiply
    8,765.07x = 13,151.71 × 3,834.07
  4. Step 4: Simplify right side
    8,765.07x = 50,424,576.76
  5. Step 5: Solve for x
    x = 50,424,576.76/8,765.07
  6. Step 6: Final answer
    x = 5,752.90

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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.