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Finding the Fourth Proportional to 10,529.62, 14,530.88 and 5,813.94

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Solution

The fourth proportional to 10,529.62, 14,530.88 and 5,813.94 is: 8,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.62 : 14,530.88 = 5,813.94 : x
  2. Step 2: Convert to fraction form
    10,529.62/14,530.88 = 5,813.94/x
  3. Step 3: Cross multiply
    10,529.62x = 14,530.88 × 5,813.94
  4. Step 4: Simplify right side
    10,529.62x = 84,481,664.47
  5. Step 5: Solve for x
    x = 84,481,664.47/10,529.62
  6. Step 6: Final answer
    x = 8,023.24

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