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Finding the Fourth Proportional to 8,760, 12,088.80 and 5,965.50

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Solution

The fourth proportional to 8,760, 12,088.80 and 5,965.50 is: 8,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760 : 12,088.80 = 5,965.50 : x
  2. Step 2: Convert to fraction form
    8,760/12,088.80 = 5,965.50/x
  3. Step 3: Cross multiply
    8,760x = 12,088.80 × 5,965.50
  4. Step 4: Simplify right side
    8,760x = 72,115,736.40
  5. Step 5: Solve for x
    x = 72,115,736.40/8,760
  6. Step 6: Final answer
    x = 8,232.39

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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.