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Finding the Fourth Proportional to 7,442.94, 11,164.14 and 3,002.52

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Solution

The fourth proportional to 7,442.94, 11,164.14 and 3,002.52 is: 4,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.94 : 11,164.14 = 3,002.52 : x
  2. Step 2: Convert to fraction form
    7,442.94/11,164.14 = 3,002.52/x
  3. Step 3: Cross multiply
    7,442.94x = 11,164.14 × 3,002.52
  4. Step 4: Simplify right side
    7,442.94x = 33,520,553.63
  5. Step 5: Solve for x
    x = 33,520,553.63/7,442.94
  6. Step 6: Final answer
    x = 4,503.67

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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.