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Finding the Fourth Proportional to 12,934.40, 17,847.29 and 7,630.26

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Solution

The fourth proportional to 12,934.40, 17,847.29 and 7,630.26 is: 10,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.40 : 17,847.29 = 7,630.26 : x
  2. Step 2: Convert to fraction form
    12,934.40/17,847.29 = 7,630.26/x
  3. Step 3: Cross multiply
    12,934.40x = 17,847.29 × 7,630.26
  4. Step 4: Simplify right side
    12,934.40x = 136,179,463.00
  5. Step 5: Solve for x
    x = 136,179,463.00/12,934.40
  6. Step 6: Final answer
    x = 10,528.48

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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.