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Finding the Fourth Proportional to 7,853.97, 11,781.76 and 2,307.29

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Solution

The fourth proportional to 7,853.97, 11,781.76 and 2,307.29 is: 3,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.97 : 11,781.76 = 2,307.29 : x
  2. Step 2: Convert to fraction form
    7,853.97/11,781.76 = 2,307.29/x
  3. Step 3: Cross multiply
    7,853.97x = 11,781.76 × 2,307.29
  4. Step 4: Simplify right side
    7,853.97x = 27,183,937.03
  5. Step 5: Solve for x
    x = 27,183,937.03/7,853.97
  6. Step 6: Final answer
    x = 3,461.17

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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.