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Finding the Fourth Proportional to 7,442.64, 11,165 and 2,513.70

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Solution

The fourth proportional to 7,442.64, 11,165 and 2,513.70 is: 3,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.64 : 11,165 = 2,513.70 : x
  2. Step 2: Convert to fraction form
    7,442.64/11,165 = 2,513.70/x
  3. Step 3: Cross multiply
    7,442.64x = 11,165 × 2,513.70
  4. Step 4: Simplify right side
    7,442.64x = 28,065,460.50
  5. Step 5: Solve for x
    x = 28,065,460.50/7,442.64
  6. Step 6: Final answer
    x = 3,770.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.