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Finding the Fourth Proportional to 8,783.14, 13,112.10 and 8,475.52

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Solution

The fourth proportional to 8,783.14, 13,112.10 and 8,475.52 is: 12,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.14 : 13,112.10 = 8,475.52 : x
  2. Step 2: Convert to fraction form
    8,783.14/13,112.10 = 8,475.52/x
  3. Step 3: Cross multiply
    8,783.14x = 13,112.10 × 8,475.52
  4. Step 4: Simplify right side
    8,783.14x = 111,131,865.79
  5. Step 5: Solve for x
    x = 111,131,865.79/8,783.14
  6. Step 6: Final answer
    x = 12,652.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.