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Finding the Fourth Proportional to 8,415.80, 12,612.55 and 6,458.43

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Solution

The fourth proportional to 8,415.80, 12,612.55 and 6,458.43 is: 9,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.80 : 12,612.55 = 6,458.43 : x
  2. Step 2: Convert to fraction form
    8,415.80/12,612.55 = 6,458.43/x
  3. Step 3: Cross multiply
    8,415.80x = 12,612.55 × 6,458.43
  4. Step 4: Simplify right side
    8,415.80x = 81,457,271.30
  5. Step 5: Solve for x
    x = 81,457,271.30/8,415.80
  6. Step 6: Final answer
    x = 9,679.09

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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.