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Finding the Fourth Proportional to 8,461.74, 12,704.26 and 4,304.57

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Solution

The fourth proportional to 8,461.74, 12,704.26 and 4,304.57 is: 6,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.74 : 12,704.26 = 4,304.57 : x
  2. Step 2: Convert to fraction form
    8,461.74/12,704.26 = 4,304.57/x
  3. Step 3: Cross multiply
    8,461.74x = 12,704.26 × 4,304.57
  4. Step 4: Simplify right side
    8,461.74x = 54,686,312.95
  5. Step 5: Solve for x
    x = 54,686,312.95/8,461.74
  6. Step 6: Final answer
    x = 6,462.77

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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.