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Finding the Fourth Proportional to 8,256.12, 12,373.23 and 7,155.33

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Solution

The fourth proportional to 8,256.12, 12,373.23 and 7,155.33 is: 10,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.12 : 12,373.23 = 7,155.33 : x
  2. Step 2: Convert to fraction form
    8,256.12/12,373.23 = 7,155.33/x
  3. Step 3: Cross multiply
    8,256.12x = 12,373.23 × 7,155.33
  4. Step 4: Simplify right side
    8,256.12x = 88,534,543.82
  5. Step 5: Solve for x
    x = 88,534,543.82/8,256.12
  6. Step 6: Final answer
    x = 10,723.50

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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.