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Finding the Fourth Proportional to 8,431.76, 11,637 and 4,706

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Solution

The fourth proportional to 8,431.76, 11,637 and 4,706 is: 6,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.76 : 11,637 = 4,706 : x
  2. Step 2: Convert to fraction form
    8,431.76/11,637 = 4,706/x
  3. Step 3: Cross multiply
    8,431.76x = 11,637 × 4,706
  4. Step 4: Simplify right side
    8,431.76x = 54,763,722
  5. Step 5: Solve for x
    x = 54,763,722/8,431.76
  6. Step 6: Final answer
    x = 6,494.93

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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.