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Finding the Fourth Proportional to 7,616.56, 10,507.76 and 4,963

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Solution

The fourth proportional to 7,616.56, 10,507.76 and 4,963 is: 6,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.56 : 10,507.76 = 4,963 : x
  2. Step 2: Convert to fraction form
    7,616.56/10,507.76 = 4,963/x
  3. Step 3: Cross multiply
    7,616.56x = 10,507.76 × 4,963
  4. Step 4: Simplify right side
    7,616.56x = 52,150,012.88
  5. Step 5: Solve for x
    x = 52,150,012.88/7,616.56
  6. Step 6: Final answer
    x = 6,846.92

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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.