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Finding the Fourth Proportional to 6,915.52, 10,378.68 and 3,022.64

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Solution

The fourth proportional to 6,915.52, 10,378.68 and 3,022.64 is: 4,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.52 : 10,378.68 = 3,022.64 : x
  2. Step 2: Convert to fraction form
    6,915.52/10,378.68 = 3,022.64/x
  3. Step 3: Cross multiply
    6,915.52x = 10,378.68 × 3,022.64
  4. Step 4: Simplify right side
    6,915.52x = 31,371,013.32
  5. Step 5: Solve for x
    x = 31,371,013.32/6,915.52
  6. Step 6: Final answer
    x = 4,536.32

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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.