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Finding the Fourth Proportional to 7,616.94, 11,420.80 and 4,981.27

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Solution

The fourth proportional to 7,616.94, 11,420.80 and 4,981.27 is: 7,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.94 : 11,420.80 = 4,981.27 : x
  2. Step 2: Convert to fraction form
    7,616.94/11,420.80 = 4,981.27/x
  3. Step 3: Cross multiply
    7,616.94x = 11,420.80 × 4,981.27
  4. Step 4: Simplify right side
    7,616.94x = 56,890,066.09
  5. Step 5: Solve for x
    x = 56,890,066.09/7,616.94
  6. Step 6: Final answer
    x = 7,468.88

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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.