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Finding the Fourth Proportional to 10,571.98, 14,590.74 and 6,095.65

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Solution

The fourth proportional to 10,571.98, 14,590.74 and 6,095.65 is: 8,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.98 : 14,590.74 = 6,095.65 : x
  2. Step 2: Convert to fraction form
    10,571.98/14,590.74 = 6,095.65/x
  3. Step 3: Cross multiply
    10,571.98x = 14,590.74 × 6,095.65
  4. Step 4: Simplify right side
    10,571.98x = 88,940,044.28
  5. Step 5: Solve for x
    x = 88,940,044.28/10,571.98
  6. Step 6: Final answer
    x = 8,412.81

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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.