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Finding the Fourth Proportional to 7,564.94, 11,343.98 and 3,180.02

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Solution

The fourth proportional to 7,564.94, 11,343.98 and 3,180.02 is: 4,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.94 : 11,343.98 = 3,180.02 : x
  2. Step 2: Convert to fraction form
    7,564.94/11,343.98 = 3,180.02/x
  3. Step 3: Cross multiply
    7,564.94x = 11,343.98 × 3,180.02
  4. Step 4: Simplify right side
    7,564.94x = 36,074,083.28
  5. Step 5: Solve for x
    x = 36,074,083.28/7,564.94
  6. Step 6: Final answer
    x = 4,768.59

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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.