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Finding the Fourth Proportional to 8,663.88, 12,983.40 and 4,771.56

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Solution

The fourth proportional to 8,663.88, 12,983.40 and 4,771.56 is: 7,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.88 : 12,983.40 = 4,771.56 : x
  2. Step 2: Convert to fraction form
    8,663.88/12,983.40 = 4,771.56/x
  3. Step 3: Cross multiply
    8,663.88x = 12,983.40 × 4,771.56
  4. Step 4: Simplify right side
    8,663.88x = 61,951,072.10
  5. Step 5: Solve for x
    x = 61,951,072.10/8,663.88
  6. Step 6: Final answer
    x = 7,150.50

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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.