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Finding the Fourth Proportional to 7,564.70, 11,343.60 and 3,179.76

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Solution

The fourth proportional to 7,564.70, 11,343.60 and 3,179.76 is: 4,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.70 : 11,343.60 = 3,179.76 : x
  2. Step 2: Convert to fraction form
    7,564.70/11,343.60 = 3,179.76/x
  3. Step 3: Cross multiply
    7,564.70x = 11,343.60 × 3,179.76
  4. Step 4: Simplify right side
    7,564.70x = 36,069,925.54
  5. Step 5: Solve for x
    x = 36,069,925.54/7,564.70
  6. Step 6: Final answer
    x = 4,768.19

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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.