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Finding the Fourth Proportional to 11,374.92, 17,062.56 and 3,054.30

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Solution

The fourth proportional to 11,374.92, 17,062.56 and 3,054.30 is: 4,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.92 : 17,062.56 = 3,054.30 : x
  2. Step 2: Convert to fraction form
    11,374.92/17,062.56 = 3,054.30/x
  3. Step 3: Cross multiply
    11,374.92x = 17,062.56 × 3,054.30
  4. Step 4: Simplify right side
    11,374.92x = 52,114,177.01
  5. Step 5: Solve for x
    x = 52,114,177.01/11,374.92
  6. Step 6: Final answer
    x = 4,581.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.