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Finding the Fourth Proportional to 10,528.52, 14,529.02 and 5,812.76

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Solution

The fourth proportional to 10,528.52, 14,529.02 and 5,812.76 is: 8,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.52 : 14,529.02 = 5,812.76 : x
  2. Step 2: Convert to fraction form
    10,528.52/14,529.02 = 5,812.76/x
  3. Step 3: Cross multiply
    10,528.52x = 14,529.02 × 5,812.76
  4. Step 4: Simplify right side
    10,528.52x = 84,453,706.30
  5. Step 5: Solve for x
    x = 84,453,706.30/10,528.52
  6. Step 6: Final answer
    x = 8,021.42

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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.