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Finding the Fourth Proportional to 7,471.88, 10,310.94 and 4,114.76

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Solution

The fourth proportional to 7,471.88, 10,310.94 and 4,114.76 is: 5,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.88 : 10,310.94 = 4,114.76 : x
  2. Step 2: Convert to fraction form
    7,471.88/10,310.94 = 4,114.76/x
  3. Step 3: Cross multiply
    7,471.88x = 10,310.94 × 4,114.76
  4. Step 4: Simplify right side
    7,471.88x = 42,427,043.47
  5. Step 5: Solve for x
    x = 42,427,043.47/7,471.88
  6. Step 6: Final answer
    x = 5,678.23

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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.