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Finding the Fourth Proportional to 7,620.94, 11,426.80 and 4,985.28

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Solution

The fourth proportional to 7,620.94, 11,426.80 and 4,985.28 is: 7,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.94 : 11,426.80 = 4,985.28 : x
  2. Step 2: Convert to fraction form
    7,620.94/11,426.80 = 4,985.28/x
  3. Step 3: Cross multiply
    7,620.94x = 11,426.80 × 4,985.28
  4. Step 4: Simplify right side
    7,620.94x = 56,965,797.50
  5. Step 5: Solve for x
    x = 56,965,797.50/7,620.94
  6. Step 6: Final answer
    x = 7,474.90

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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.