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Finding the Fourth Proportional to 7,586.70, 11,373.42 and 4,078.62

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Solution

The fourth proportional to 7,586.70, 11,373.42 and 4,078.62 is: 6,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.70 : 11,373.42 = 4,078.62 : x
  2. Step 2: Convert to fraction form
    7,586.70/11,373.42 = 4,078.62/x
  3. Step 3: Cross multiply
    7,586.70x = 11,373.42 × 4,078.62
  4. Step 4: Simplify right side
    7,586.70x = 46,387,858.28
  5. Step 5: Solve for x
    x = 46,387,858.28/7,586.70
  6. Step 6: Final answer
    x = 6,114.37

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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.