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Finding the Fourth Proportional to 10,529.21, 14,530.03 and 5,813.39

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Solution

The fourth proportional to 10,529.21, 14,530.03 and 5,813.39 is: 8,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.21 : 14,530.03 = 5,813.39 : x
  2. Step 2: Convert to fraction form
    10,529.21/14,530.03 = 5,813.39/x
  3. Step 3: Cross multiply
    10,529.21x = 14,530.03 × 5,813.39
  4. Step 4: Simplify right side
    10,529.21x = 84,468,629.38
  5. Step 5: Solve for x
    x = 84,468,629.38/10,529.21
  6. Step 6: Final answer
    x = 8,022.32

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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.