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Finding the Fourth Proportional to 10,590.78, 14,615.07 and 5,874.96

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Solution

The fourth proportional to 10,590.78, 14,615.07 and 5,874.96 is: 8,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.78 : 14,615.07 = 5,874.96 : x
  2. Step 2: Convert to fraction form
    10,590.78/14,615.07 = 5,874.96/x
  3. Step 3: Cross multiply
    10,590.78x = 14,615.07 × 5,874.96
  4. Step 4: Simplify right side
    10,590.78x = 85,862,951.65
  5. Step 5: Solve for x
    x = 85,862,951.65/10,590.78
  6. Step 6: Final answer
    x = 8,107.33

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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.