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Finding the Fourth Proportional to 10,829, 14,944.02 and 5,861

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Solution

The fourth proportional to 10,829, 14,944.02 and 5,861 is: 8,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829 : 14,944.02 = 5,861 : x
  2. Step 2: Convert to fraction form
    10,829/14,944.02 = 5,861/x
  3. Step 3: Cross multiply
    10,829x = 14,944.02 × 5,861
  4. Step 4: Simplify right side
    10,829x = 87,586,901.22
  5. Step 5: Solve for x
    x = 87,586,901.22/10,829
  6. Step 6: Final answer
    x = 8,088.18

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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.