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Finding the Fourth Proportional to 7,346.64, 11,023.20 and 2,972.64

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Solution

The fourth proportional to 7,346.64, 11,023.20 and 2,972.64 is: 4,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.64 : 11,023.20 = 2,972.64 : x
  2. Step 2: Convert to fraction form
    7,346.64/11,023.20 = 2,972.64/x
  3. Step 3: Cross multiply
    7,346.64x = 11,023.20 × 2,972.64
  4. Step 4: Simplify right side
    7,346.64x = 32,768,005.25
  5. Step 5: Solve for x
    x = 32,768,005.25/7,346.64
  6. Step 6: Final answer
    x = 4,460.27

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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.