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Finding the Fourth Proportional to 10,201.17, 15,304.08 and 2,806.23

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Solution

The fourth proportional to 10,201.17, 15,304.08 and 2,806.23 is: 4,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.17 : 15,304.08 = 2,806.23 : x
  2. Step 2: Convert to fraction form
    10,201.17/15,304.08 = 2,806.23/x
  3. Step 3: Cross multiply
    10,201.17x = 15,304.08 × 2,806.23
  4. Step 4: Simplify right side
    10,201.17x = 42,946,768.42
  5. Step 5: Solve for x
    x = 42,946,768.42/10,201.17
  6. Step 6: Final answer
    x = 4,209.98

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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.