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Finding the Fourth Proportional to 10,209.35, 15,304.78 and 7,090.83

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Solution

The fourth proportional to 10,209.35, 15,304.78 and 7,090.83 is: 10,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.35 : 15,304.78 = 7,090.83 : x
  2. Step 2: Convert to fraction form
    10,209.35/15,304.78 = 7,090.83/x
  3. Step 3: Cross multiply
    10,209.35x = 15,304.78 × 7,090.83
  4. Step 4: Simplify right side
    10,209.35x = 108,523,616.03
  5. Step 5: Solve for x
    x = 108,523,616.03/10,209.35
  6. Step 6: Final answer
    x = 10,629.82

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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.