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Finding the Fourth Proportional to 7,342.64, 11,017.20 and 2,968.64

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Solution

The fourth proportional to 7,342.64, 11,017.20 and 2,968.64 is: 4,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.64 : 11,017.20 = 2,968.64 : x
  2. Step 2: Convert to fraction form
    7,342.64/11,017.20 = 2,968.64/x
  3. Step 3: Cross multiply
    7,342.64x = 11,017.20 × 2,968.64
  4. Step 4: Simplify right side
    7,342.64x = 32,706,100.61
  5. Step 5: Solve for x
    x = 32,706,100.61/7,342.64
  6. Step 6: Final answer
    x = 4,454.27

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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.