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Finding the Fourth Proportional to 7,876.47, 11,817.02 and 2,329.97

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Solution

The fourth proportional to 7,876.47, 11,817.02 and 2,329.97 is: 3,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.47 : 11,817.02 = 2,329.97 : x
  2. Step 2: Convert to fraction form
    7,876.47/11,817.02 = 2,329.97/x
  3. Step 3: Cross multiply
    7,876.47x = 11,817.02 × 2,329.97
  4. Step 4: Simplify right side
    7,876.47x = 27,533,237.18
  5. Step 5: Solve for x
    x = 27,533,237.18/7,876.47
  6. Step 6: Final answer
    x = 3,495.63

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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.