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Finding the Fourth Proportional to 7,150.40, 10,702.56 and 3,682.88

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Solution

The fourth proportional to 7,150.40, 10,702.56 and 3,682.88 is: 5,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.40 : 10,702.56 = 3,682.88 : x
  2. Step 2: Convert to fraction form
    7,150.40/10,702.56 = 3,682.88/x
  3. Step 3: Cross multiply
    7,150.40x = 10,702.56 × 3,682.88
  4. Step 4: Simplify right side
    7,150.40x = 39,416,244.17
  5. Step 5: Solve for x
    x = 39,416,244.17/7,150.40
  6. Step 6: Final answer
    x = 5,512.45

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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.