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Finding the Fourth Proportional to 7,586.39, 11,373.62 and 5,090.11

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Solution

The fourth proportional to 7,586.39, 11,373.62 and 5,090.11 is: 7,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.39 : 11,373.62 = 5,090.11 : x
  2. Step 2: Convert to fraction form
    7,586.39/11,373.62 = 5,090.11/x
  3. Step 3: Cross multiply
    7,586.39x = 11,373.62 × 5,090.11
  4. Step 4: Simplify right side
    7,586.39x = 57,892,923.01
  5. Step 5: Solve for x
    x = 57,892,923.01/7,586.39
  6. Step 6: Final answer
    x = 7,631.15

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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.