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Finding the Fourth Proportional to 7,586.86, 10,458.27 and 5,990.62

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Solution

The fourth proportional to 7,586.86, 10,458.27 and 5,990.62 is: 8,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.86 : 10,458.27 = 5,990.62 : x
  2. Step 2: Convert to fraction form
    7,586.86/10,458.27 = 5,990.62/x
  3. Step 3: Cross multiply
    7,586.86x = 10,458.27 × 5,990.62
  4. Step 4: Simplify right side
    7,586.86x = 62,651,521.43
  5. Step 5: Solve for x
    x = 62,651,521.43/7,586.86
  6. Step 6: Final answer
    x = 8,257.90

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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.