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Finding the Fourth Proportional to 7,680.49, 11,513.43 and 3,003.50

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Solution

The fourth proportional to 7,680.49, 11,513.43 and 3,003.50 is: 4,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.49 : 11,513.43 = 3,003.50 : x
  2. Step 2: Convert to fraction form
    7,680.49/11,513.43 = 3,003.50/x
  3. Step 3: Cross multiply
    7,680.49x = 11,513.43 × 3,003.50
  4. Step 4: Simplify right side
    7,680.49x = 34,580,587.01
  5. Step 5: Solve for x
    x = 34,580,587.01/7,680.49
  6. Step 6: Final answer
    x = 4,502.39

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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.