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Finding the Fourth Proportional to 7,590.75, 11,310.67 and 6,762.66

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Solution

The fourth proportional to 7,590.75, 11,310.67 and 6,762.66 is: 10,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.75 : 11,310.67 = 6,762.66 : x
  2. Step 2: Convert to fraction form
    7,590.75/11,310.67 = 6,762.66/x
  3. Step 3: Cross multiply
    7,590.75x = 11,310.67 × 6,762.66
  4. Step 4: Simplify right side
    7,590.75x = 76,490,243.86
  5. Step 5: Solve for x
    x = 76,490,243.86/7,590.75
  6. Step 6: Final answer
    x = 10,076.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.