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Finding the Fourth Proportional to 7,654.49, 10,563.20 and 4,298.39

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Solution

The fourth proportional to 7,654.49, 10,563.20 and 4,298.39 is: 5,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.49 : 10,563.20 = 4,298.39 : x
  2. Step 2: Convert to fraction form
    7,654.49/10,563.20 = 4,298.39/x
  3. Step 3: Cross multiply
    7,654.49x = 10,563.20 × 4,298.39
  4. Step 4: Simplify right side
    7,654.49x = 45,404,753.25
  5. Step 5: Solve for x
    x = 45,404,753.25/7,654.49
  6. Step 6: Final answer
    x = 5,931.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.