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Finding the Fourth Proportional to 12,412.40, 17,129.19 and 6,747.16

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Solution

The fourth proportional to 12,412.40, 17,129.19 and 6,747.16 is: 9,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.40 : 17,129.19 = 6,747.16 : x
  2. Step 2: Convert to fraction form
    12,412.40/17,129.19 = 6,747.16/x
  3. Step 3: Cross multiply
    12,412.40x = 17,129.19 × 6,747.16
  4. Step 4: Simplify right side
    12,412.40x = 115,573,385.60
  5. Step 5: Solve for x
    x = 115,573,385.60/12,412.40
  6. Step 6: Final answer
    x = 9,311.12

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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.