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Finding the Fourth Proportional to 8,564.10, 11,820 and 4,979.55

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Solution

The fourth proportional to 8,564.10, 11,820 and 4,979.55 is: 6,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.10 : 11,820 = 4,979.55 : x
  2. Step 2: Convert to fraction form
    8,564.10/11,820 = 4,979.55/x
  3. Step 3: Cross multiply
    8,564.10x = 11,820 × 4,979.55
  4. Step 4: Simplify right side
    8,564.10x = 58,858,281
  5. Step 5: Solve for x
    x = 58,858,281/8,564.10
  6. Step 6: Final answer
    x = 6,872.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.