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Finding the Fourth Proportional to 8,458.64, 12,684.80 and 2,910.42

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Solution

The fourth proportional to 8,458.64, 12,684.80 and 2,910.42 is: 4,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.64 : 12,684.80 = 2,910.42 : x
  2. Step 2: Convert to fraction form
    8,458.64/12,684.80 = 2,910.42/x
  3. Step 3: Cross multiply
    8,458.64x = 12,684.80 × 2,910.42
  4. Step 4: Simplify right side
    8,458.64x = 36,918,095.62
  5. Step 5: Solve for x
    x = 36,918,095.62/8,458.64
  6. Step 6: Final answer
    x = 4,364.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.