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Finding the Fourth Proportional to 7,580.58, 11,365.39 and 5,109.27

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Solution

The fourth proportional to 7,580.58, 11,365.39 and 5,109.27 is: 7,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.58 : 11,365.39 = 5,109.27 : x
  2. Step 2: Convert to fraction form
    7,580.58/11,365.39 = 5,109.27/x
  3. Step 3: Cross multiply
    7,580.58x = 11,365.39 × 5,109.27
  4. Step 4: Simplify right side
    7,580.58x = 58,068,846.17
  5. Step 5: Solve for x
    x = 58,068,846.17/7,580.58
  6. Step 6: Final answer
    x = 7,660.21

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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.