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Finding the Fourth Proportional to 7,876.39, 11,816.63 and 2,946.41

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Solution

The fourth proportional to 7,876.39, 11,816.63 and 2,946.41 is: 4,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.39 : 11,816.63 = 2,946.41 : x
  2. Step 2: Convert to fraction form
    7,876.39/11,816.63 = 2,946.41/x
  3. Step 3: Cross multiply
    7,876.39x = 11,816.63 × 2,946.41
  4. Step 4: Simplify right side
    7,876.39x = 34,816,684.77
  5. Step 5: Solve for x
    x = 34,816,684.77/7,876.39
  6. Step 6: Final answer
    x = 4,420.39

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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.