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Finding the Fourth Proportional to 8,364.20, 12,547.90 and 4,205.12

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Solution

The fourth proportional to 8,364.20, 12,547.90 and 4,205.12 is: 6,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.20 : 12,547.90 = 4,205.12 : x
  2. Step 2: Convert to fraction form
    8,364.20/12,547.90 = 4,205.12/x
  3. Step 3: Cross multiply
    8,364.20x = 12,547.90 × 4,205.12
  4. Step 4: Simplify right side
    8,364.20x = 52,765,425.25
  5. Step 5: Solve for x
    x = 52,765,425.25/8,364.20
  6. Step 6: Final answer
    x = 6,308.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.