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Finding the Fourth Proportional to 8,900.64, 12,286.76 and 6,257.88

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Solution

The fourth proportional to 8,900.64, 12,286.76 and 6,257.88 is: 8,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.64 : 12,286.76 = 6,257.88 : x
  2. Step 2: Convert to fraction form
    8,900.64/12,286.76 = 6,257.88/x
  3. Step 3: Cross multiply
    8,900.64x = 12,286.76 × 6,257.88
  4. Step 4: Simplify right side
    8,900.64x = 76,889,038.38
  5. Step 5: Solve for x
    x = 76,889,038.38/8,900.64
  6. Step 6: Final answer
    x = 8,638.60

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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.