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Finding the Fourth Proportional to 10,584.68, 15,878.64 and 3,188.16

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Solution

The fourth proportional to 10,584.68, 15,878.64 and 3,188.16 is: 4,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.68 : 15,878.64 = 3,188.16 : x
  2. Step 2: Convert to fraction form
    10,584.68/15,878.64 = 3,188.16/x
  3. Step 3: Cross multiply
    10,584.68x = 15,878.64 × 3,188.16
  4. Step 4: Simplify right side
    10,584.68x = 50,623,644.90
  5. Step 5: Solve for x
    x = 50,623,644.90/10,584.68
  6. Step 6: Final answer
    x = 4,782.73

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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.