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Finding the Fourth Proportional to 10,507.49, 15,760.62 and 3,848.48

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Solution

The fourth proportional to 10,507.49, 15,760.62 and 3,848.48 is: 5,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.49 : 15,760.62 = 3,848.48 : x
  2. Step 2: Convert to fraction form
    10,507.49/15,760.62 = 3,848.48/x
  3. Step 3: Cross multiply
    10,507.49x = 15,760.62 × 3,848.48
  4. Step 4: Simplify right side
    10,507.49x = 60,654,352.05
  5. Step 5: Solve for x
    x = 60,654,352.05/10,507.49
  6. Step 6: Final answer
    x = 5,772.49

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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.