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Finding the Fourth Proportional to 12,612.40, 17,397.36 and 7,834

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Solution

The fourth proportional to 12,612.40, 17,397.36 and 7,834 is: 10,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.40 : 17,397.36 = 7,834 : x
  2. Step 2: Convert to fraction form
    12,612.40/17,397.36 = 7,834/x
  3. Step 3: Cross multiply
    12,612.40x = 17,397.36 × 7,834
  4. Step 4: Simplify right side
    12,612.40x = 136,290,918.24
  5. Step 5: Solve for x
    x = 136,290,918.24/12,612.40
  6. Step 6: Final answer
    x = 10,806.10

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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.