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Finding the Fourth Proportional to 8,164.86, 12,210.39 and 6,290.52

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Solution

The fourth proportional to 8,164.86, 12,210.39 and 6,290.52 is: 9,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.86 : 12,210.39 = 6,290.52 : x
  2. Step 2: Convert to fraction form
    8,164.86/12,210.39 = 6,290.52/x
  3. Step 3: Cross multiply
    8,164.86x = 12,210.39 × 6,290.52
  4. Step 4: Simplify right side
    8,164.86x = 76,809,702.50
  5. Step 5: Solve for x
    x = 76,809,702.50/8,164.86
  6. Step 6: Final answer
    x = 9,407.35

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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.