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Finding the Fourth Proportional to 7,564.59, 11,342.43 and 3,180.87

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Solution

The fourth proportional to 7,564.59, 11,342.43 and 3,180.87 is: 4,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.59 : 11,342.43 = 3,180.87 : x
  2. Step 2: Convert to fraction form
    7,564.59/11,342.43 = 3,180.87/x
  3. Step 3: Cross multiply
    7,564.59x = 11,342.43 × 3,180.87
  4. Step 4: Simplify right side
    7,564.59x = 36,078,795.31
  5. Step 5: Solve for x
    x = 36,078,795.31/7,564.59
  6. Step 6: Final answer
    x = 4,769.43

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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.