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Finding the Fourth Proportional to 8,547.47, 12,821.20 and 6,827.03

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Solution

The fourth proportional to 8,547.47, 12,821.20 and 6,827.03 is: 10,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.47 : 12,821.20 = 6,827.03 : x
  2. Step 2: Convert to fraction form
    8,547.47/12,821.20 = 6,827.03/x
  3. Step 3: Cross multiply
    8,547.47x = 12,821.20 × 6,827.03
  4. Step 4: Simplify right side
    8,547.47x = 87,530,635.86
  5. Step 5: Solve for x
    x = 87,530,635.86/8,547.47
  6. Step 6: Final answer
    x = 10,240.54

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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.