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Finding the Fourth Proportional to 10,590, 14,614.24 and 5,874.96

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Solution

The fourth proportional to 10,590, 14,614.24 and 5,874.96 is: 8,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 14,614.24 = 5,874.96 : x
  2. Step 2: Convert to fraction form
    10,590/14,614.24 = 5,874.96/x
  3. Step 3: Cross multiply
    10,590x = 14,614.24 × 5,874.96
  4. Step 4: Simplify right side
    10,590x = 85,858,075.43
  5. Step 5: Solve for x
    x = 85,858,075.43/10,590
  6. Step 6: Final answer
    x = 8,107.47

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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.