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Finding the Fourth Proportional to 10,494.20, 15,735.54 and 7,208.12

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Solution

The fourth proportional to 10,494.20, 15,735.54 and 7,208.12 is: 10,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.20 : 15,735.54 = 7,208.12 : x
  2. Step 2: Convert to fraction form
    10,494.20/15,735.54 = 7,208.12/x
  3. Step 3: Cross multiply
    10,494.20x = 15,735.54 × 7,208.12
  4. Step 4: Simplify right side
    10,494.20x = 113,423,660.58
  5. Step 5: Solve for x
    x = 113,423,660.58/10,494.20
  6. Step 6: Final answer
    x = 10,808.22

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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.