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Finding the Fourth Proportional to 8,597.76, 12,883.32 and 4,150.62

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Solution

The fourth proportional to 8,597.76, 12,883.32 and 4,150.62 is: 6,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.76 : 12,883.32 = 4,150.62 : x
  2. Step 2: Convert to fraction form
    8,597.76/12,883.32 = 4,150.62/x
  3. Step 3: Cross multiply
    8,597.76x = 12,883.32 × 4,150.62
  4. Step 4: Simplify right side
    8,597.76x = 53,473,765.66
  5. Step 5: Solve for x
    x = 53,473,765.66/8,597.76
  6. Step 6: Final answer
    x = 6,219.50

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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.