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Finding the Fourth Proportional to 10,590.30, 14,614.68 and 5,874.88

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Solution

The fourth proportional to 10,590.30, 14,614.68 and 5,874.88 is: 8,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.30 : 14,614.68 = 5,874.88 : x
  2. Step 2: Convert to fraction form
    10,590.30/14,614.68 = 5,874.88/x
  3. Step 3: Cross multiply
    10,590.30x = 14,614.68 × 5,874.88
  4. Step 4: Simplify right side
    10,590.30x = 85,859,491.24
  5. Step 5: Solve for x
    x = 85,859,491.24/10,590.30
  6. Step 6: Final answer
    x = 8,107.37

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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.