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Finding the Fourth Proportional to 8,666.39, 11,959.63 and 4,889.57

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Solution

The fourth proportional to 8,666.39, 11,959.63 and 4,889.57 is: 6,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.39 : 11,959.63 = 4,889.57 : x
  2. Step 2: Convert to fraction form
    8,666.39/11,959.63 = 4,889.57/x
  3. Step 3: Cross multiply
    8,666.39x = 11,959.63 × 4,889.57
  4. Step 4: Simplify right side
    8,666.39x = 58,477,376.04
  5. Step 5: Solve for x
    x = 58,477,376.04/8,666.39
  6. Step 6: Final answer
    x = 6,747.60

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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.