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Finding the Fourth Proportional to 10,652.87, 14,701.06 and 5,872.99

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Solution

The fourth proportional to 10,652.87, 14,701.06 and 5,872.99 is: 8,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.87 : 14,701.06 = 5,872.99 : x
  2. Step 2: Convert to fraction form
    10,652.87/14,701.06 = 5,872.99/x
  3. Step 3: Cross multiply
    10,652.87x = 14,701.06 × 5,872.99
  4. Step 4: Simplify right side
    10,652.87x = 86,339,178.37
  5. Step 5: Solve for x
    x = 86,339,178.37/10,652.87
  6. Step 6: Final answer
    x = 8,104.78

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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.