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Finding the Fourth Proportional to 10,356.20, 15,534.30 and 5,982.20

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Solution

The fourth proportional to 10,356.20, 15,534.30 and 5,982.20 is: 8,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.20 : 15,534.30 = 5,982.20 : x
  2. Step 2: Convert to fraction form
    10,356.20/15,534.30 = 5,982.20/x
  3. Step 3: Cross multiply
    10,356.20x = 15,534.30 × 5,982.20
  4. Step 4: Simplify right side
    10,356.20x = 92,929,289.46
  5. Step 5: Solve for x
    x = 92,929,289.46/10,356.20
  6. Step 6: Final answer
    x = 8,973.30

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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.