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Finding the Fourth Proportional to 7,471.84, 11,208.72 and 2,539.84

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Solution

The fourth proportional to 7,471.84, 11,208.72 and 2,539.84 is: 3,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.84 : 11,208.72 = 2,539.84 : x
  2. Step 2: Convert to fraction form
    7,471.84/11,208.72 = 2,539.84/x
  3. Step 3: Cross multiply
    7,471.84x = 11,208.72 × 2,539.84
  4. Step 4: Simplify right side
    7,471.84x = 28,468,355.40
  5. Step 5: Solve for x
    x = 28,468,355.40/7,471.84
  6. Step 6: Final answer
    x = 3,810.09

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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.