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Finding the Fourth Proportional to 8,669.71, 11,964 and 5,132.98

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Solution

The fourth proportional to 8,669.71, 11,964 and 5,132.98 is: 7,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.71 : 11,964 = 5,132.98 : x
  2. Step 2: Convert to fraction form
    8,669.71/11,964 = 5,132.98/x
  3. Step 3: Cross multiply
    8,669.71x = 11,964 × 5,132.98
  4. Step 4: Simplify right side
    8,669.71x = 61,410,972.72
  5. Step 5: Solve for x
    x = 61,410,972.72/8,669.71
  6. Step 6: Final answer
    x = 7,083.39

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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.