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Finding the Fourth Proportional to 12,512.46, 17,266.98 and 6,847.08

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Solution

The fourth proportional to 12,512.46, 17,266.98 and 6,847.08 is: 9,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.46 : 17,266.98 = 6,847.08 : x
  2. Step 2: Convert to fraction form
    12,512.46/17,266.98 = 6,847.08/x
  3. Step 3: Cross multiply
    12,512.46x = 17,266.98 × 6,847.08
  4. Step 4: Simplify right side
    12,512.46x = 118,228,393.42
  5. Step 5: Solve for x
    x = 118,228,393.42/12,512.46
  6. Step 6: Final answer
    x = 9,448.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.