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Finding the Fourth Proportional to 8,486.64, 12,706.88 and 4,971.44

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Solution

The fourth proportional to 8,486.64, 12,706.88 and 4,971.44 is: 7,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.64 : 12,706.88 = 4,971.44 : x
  2. Step 2: Convert to fraction form
    8,486.64/12,706.88 = 4,971.44/x
  3. Step 3: Cross multiply
    8,486.64x = 12,706.88 × 4,971.44
  4. Step 4: Simplify right side
    8,486.64x = 63,171,498.42
  5. Step 5: Solve for x
    x = 63,171,498.42/8,486.64
  6. Step 6: Final answer
    x = 7,443.64

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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.