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Finding the Fourth Proportional to 8,466.42, 12,695.01 and 6,722.63

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Solution

The fourth proportional to 8,466.42, 12,695.01 and 6,722.63 is: 10,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.42 : 12,695.01 = 6,722.63 : x
  2. Step 2: Convert to fraction form
    8,466.42/12,695.01 = 6,722.63/x
  3. Step 3: Cross multiply
    8,466.42x = 12,695.01 × 6,722.63
  4. Step 4: Simplify right side
    8,466.42x = 85,343,851.81
  5. Step 5: Solve for x
    x = 85,343,851.81/8,466.42
  6. Step 6: Final answer
    x = 10,080.27

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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.