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Finding the Fourth Proportional to 10,466.01, 15,704.15 and 5,201.55

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Solution

The fourth proportional to 10,466.01, 15,704.15 and 5,201.55 is: 7,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.01 : 15,704.15 = 5,201.55 : x
  2. Step 2: Convert to fraction form
    10,466.01/15,704.15 = 5,201.55/x
  3. Step 3: Cross multiply
    10,466.01x = 15,704.15 × 5,201.55
  4. Step 4: Simplify right side
    10,466.01x = 81,685,895.42
  5. Step 5: Solve for x
    x = 81,685,895.42/10,466.01
  6. Step 6: Final answer
    x = 7,804.87

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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.