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Finding the Fourth Proportional to 7,563.34, 11,345 and 3,668.32

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Solution

The fourth proportional to 7,563.34, 11,345 and 3,668.32 is: 5,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.34 : 11,345 = 3,668.32 : x
  2. Step 2: Convert to fraction form
    7,563.34/11,345 = 3,668.32/x
  3. Step 3: Cross multiply
    7,563.34x = 11,345 × 3,668.32
  4. Step 4: Simplify right side
    7,563.34x = 41,617,090.40
  5. Step 5: Solve for x
    x = 41,617,090.40/7,563.34
  6. Step 6: Final answer
    x = 5,502.48

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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.