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Finding the Fourth Proportional to 10,529.52, 14,529.72 and 5,813.52

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Solution

The fourth proportional to 10,529.52, 14,529.72 and 5,813.52 is: 8,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.52 : 14,529.72 = 5,813.52 : x
  2. Step 2: Convert to fraction form
    10,529.52/14,529.72 = 5,813.52/x
  3. Step 3: Cross multiply
    10,529.52x = 14,529.72 × 5,813.52
  4. Step 4: Simplify right side
    10,529.52x = 84,468,817.81
  5. Step 5: Solve for x
    x = 84,468,817.81/10,529.52
  6. Step 6: Final answer
    x = 8,022.10

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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.