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Finding the Fourth Proportional to 8,549.88, 12,824.58 and 4,661.88

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Solution

The fourth proportional to 8,549.88, 12,824.58 and 4,661.88 is: 6,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.88 : 12,824.58 = 4,661.88 : x
  2. Step 2: Convert to fraction form
    8,549.88/12,824.58 = 4,661.88/x
  3. Step 3: Cross multiply
    8,549.88x = 12,824.58 × 4,661.88
  4. Step 4: Simplify right side
    8,549.88x = 59,786,653.01
  5. Step 5: Solve for x
    x = 59,786,653.01/8,549.88
  6. Step 6: Final answer
    x = 6,992.69

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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.