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Finding the Fourth Proportional to 7,638.64, 10,541.36 and 4,984.48

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Solution

The fourth proportional to 7,638.64, 10,541.36 and 4,984.48 is: 6,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.64 : 10,541.36 = 4,984.48 : x
  2. Step 2: Convert to fraction form
    7,638.64/10,541.36 = 4,984.48/x
  3. Step 3: Cross multiply
    7,638.64x = 10,541.36 × 4,984.48
  4. Step 4: Simplify right side
    7,638.64x = 52,543,198.09
  5. Step 5: Solve for x
    x = 52,543,198.09/7,638.64
  6. Step 6: Final answer
    x = 6,878.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.