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Finding the Fourth Proportional to 7,364.10, 11,042.10 and 3,203.40

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Solution

The fourth proportional to 7,364.10, 11,042.10 and 3,203.40 is: 4,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.10 : 11,042.10 = 3,203.40 : x
  2. Step 2: Convert to fraction form
    7,364.10/11,042.10 = 3,203.40/x
  3. Step 3: Cross multiply
    7,364.10x = 11,042.10 × 3,203.40
  4. Step 4: Simplify right side
    7,364.10x = 35,372,263.14
  5. Step 5: Solve for x
    x = 35,372,263.14/7,364.10
  6. Step 6: Final answer
    x = 4,803.34

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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.