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Finding the Fourth Proportional to 8,321.49, 11,484.87 and 5,340.69

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Solution

The fourth proportional to 8,321.49, 11,484.87 and 5,340.69 is: 7,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.49 : 11,484.87 = 5,340.69 : x
  2. Step 2: Convert to fraction form
    8,321.49/11,484.87 = 5,340.69/x
  3. Step 3: Cross multiply
    8,321.49x = 11,484.87 × 5,340.69
  4. Step 4: Simplify right side
    8,321.49x = 61,337,130.36
  5. Step 5: Solve for x
    x = 61,337,130.36/8,321.49
  6. Step 6: Final answer
    x = 7,370.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.