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Finding the Fourth Proportional to 10,228.49, 15,333.01 and 6,520.31

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Solution

The fourth proportional to 10,228.49, 15,333.01 and 6,520.31 is: 9,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.49 : 15,333.01 = 6,520.31 : x
  2. Step 2: Convert to fraction form
    10,228.49/15,333.01 = 6,520.31/x
  3. Step 3: Cross multiply
    10,228.49x = 15,333.01 × 6,520.31
  4. Step 4: Simplify right side
    10,228.49x = 99,975,978.43
  5. Step 5: Solve for x
    x = 99,975,978.43/10,228.49
  6. Step 6: Final answer
    x = 9,774.27

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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.