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Finding the Fourth Proportional to 7,586.85, 11,360.39 and 6,098.15

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Solution

The fourth proportional to 7,586.85, 11,360.39 and 6,098.15 is: 9,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.85 : 11,360.39 = 6,098.15 : x
  2. Step 2: Convert to fraction form
    7,586.85/11,360.39 = 6,098.15/x
  3. Step 3: Cross multiply
    7,586.85x = 11,360.39 × 6,098.15
  4. Step 4: Simplify right side
    7,586.85x = 69,277,274.99
  5. Step 5: Solve for x
    x = 69,277,274.99/7,586.85
  6. Step 6: Final answer
    x = 9,131.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.