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Finding the Fourth Proportional to 7,884.36, 10,876.28 and 4,696.74

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Solution

The fourth proportional to 7,884.36, 10,876.28 and 4,696.74 is: 6,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.36 : 10,876.28 = 4,696.74 : x
  2. Step 2: Convert to fraction form
    7,884.36/10,876.28 = 4,696.74/x
  3. Step 3: Cross multiply
    7,884.36x = 10,876.28 × 4,696.74
  4. Step 4: Simplify right side
    7,884.36x = 51,083,035.84
  5. Step 5: Solve for x
    x = 51,083,035.84/7,884.36
  6. Step 6: Final answer
    x = 6,479.03

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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.