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Finding the Fourth Proportional to 8,339.82, 12,495.21 and 5,863.02

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Solution

The fourth proportional to 8,339.82, 12,495.21 and 5,863.02 is: 8,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.82 : 12,495.21 = 5,863.02 : x
  2. Step 2: Convert to fraction form
    8,339.82/12,495.21 = 5,863.02/x
  3. Step 3: Cross multiply
    8,339.82x = 12,495.21 × 5,863.02
  4. Step 4: Simplify right side
    8,339.82x = 73,259,666.13
  5. Step 5: Solve for x
    x = 73,259,666.13/8,339.82
  6. Step 6: Final answer
    x = 8,784.32

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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.