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Finding the Fourth Proportional to 7,654.65, 11,482.02 and 2,724.48

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Solution

The fourth proportional to 7,654.65, 11,482.02 and 2,724.48 is: 4,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.65 : 11,482.02 = 2,724.48 : x
  2. Step 2: Convert to fraction form
    7,654.65/11,482.02 = 2,724.48/x
  3. Step 3: Cross multiply
    7,654.65x = 11,482.02 × 2,724.48
  4. Step 4: Simplify right side
    7,654.65x = 31,282,533.85
  5. Step 5: Solve for x
    x = 31,282,533.85/7,654.65
  6. Step 6: Final answer
    x = 4,086.74

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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.