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Finding the Fourth Proportional to 7,580.69, 11,365.88 and 2,647.63

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Solution

The fourth proportional to 7,580.69, 11,365.88 and 2,647.63 is: 3,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.69 : 11,365.88 = 2,647.63 : x
  2. Step 2: Convert to fraction form
    7,580.69/11,365.88 = 2,647.63/x
  3. Step 3: Cross multiply
    7,580.69x = 11,365.88 × 2,647.63
  4. Step 4: Simplify right side
    7,580.69x = 30,092,588.04
  5. Step 5: Solve for x
    x = 30,092,588.04/7,580.69
  6. Step 6: Final answer
    x = 3,969.64

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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.