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Finding the Fourth Proportional to 10,449.84, 15,674.84 and 2,658.64

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Solution

The fourth proportional to 10,449.84, 15,674.84 and 2,658.64 is: 3,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.84 : 15,674.84 = 2,658.64 : x
  2. Step 2: Convert to fraction form
    10,449.84/15,674.84 = 2,658.64/x
  3. Step 3: Cross multiply
    10,449.84x = 15,674.84 × 2,658.64
  4. Step 4: Simplify right side
    10,449.84x = 41,673,756.62
  5. Step 5: Solve for x
    x = 41,673,756.62/10,449.84
  6. Step 6: Final answer
    x = 3,987.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.