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Finding the Fourth Proportional to 11,362.17, 17,043 and 3,042.18

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Solution

The fourth proportional to 11,362.17, 17,043 and 3,042.18 is: 4,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.17 : 17,043 = 3,042.18 : x
  2. Step 2: Convert to fraction form
    11,362.17/17,043 = 3,042.18/x
  3. Step 3: Cross multiply
    11,362.17x = 17,043 × 3,042.18
  4. Step 4: Simplify right side
    11,362.17x = 51,847,873.74
  5. Step 5: Solve for x
    x = 51,847,873.74/11,362.17
  6. Step 6: Final answer
    x = 4,563.20

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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.