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Finding the Fourth Proportional to 8,266.08, 11,407.20 and 4,729.20

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Solution

The fourth proportional to 8,266.08, 11,407.20 and 4,729.20 is: 6,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.08 : 11,407.20 = 4,729.20 : x
  2. Step 2: Convert to fraction form
    8,266.08/11,407.20 = 4,729.20/x
  3. Step 3: Cross multiply
    8,266.08x = 11,407.20 × 4,729.20
  4. Step 4: Simplify right side
    8,266.08x = 53,946,930.24
  5. Step 5: Solve for x
    x = 53,946,930.24/8,266.08
  6. Step 6: Final answer
    x = 6,526.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.