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Finding the Fourth Proportional to 8,415.42, 12,618.95 and 4,906.64

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Solution

The fourth proportional to 8,415.42, 12,618.95 and 4,906.64 is: 7,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.42 : 12,618.95 = 4,906.64 : x
  2. Step 2: Convert to fraction form
    8,415.42/12,618.95 = 4,906.64/x
  3. Step 3: Cross multiply
    8,415.42x = 12,618.95 × 4,906.64
  4. Step 4: Simplify right side
    8,415.42x = 61,916,557.20
  5. Step 5: Solve for x
    x = 61,916,557.20/8,415.42
  6. Step 6: Final answer
    x = 7,357.51

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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.