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Finding the Fourth Proportional to 8,461.20, 11,680.71 and 5,479.47

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Solution

The fourth proportional to 8,461.20, 11,680.71 and 5,479.47 is: 7,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.20 : 11,680.71 = 5,479.47 : x
  2. Step 2: Convert to fraction form
    8,461.20/11,680.71 = 5,479.47/x
  3. Step 3: Cross multiply
    8,461.20x = 11,680.71 × 5,479.47
  4. Step 4: Simplify right side
    8,461.20x = 64,004,100.02
  5. Step 5: Solve for x
    x = 64,004,100.02/8,461.20
  6. Step 6: Final answer
    x = 7,564.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.