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Finding the Fourth Proportional to 7,461.81, 10,296.81 and 4,274.73

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Solution

The fourth proportional to 7,461.81, 10,296.81 and 4,274.73 is: 5,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.81 : 10,296.81 = 4,274.73 : x
  2. Step 2: Convert to fraction form
    7,461.81/10,296.81 = 4,274.73/x
  3. Step 3: Cross multiply
    7,461.81x = 10,296.81 × 4,274.73
  4. Step 4: Simplify right side
    7,461.81x = 44,016,082.61
  5. Step 5: Solve for x
    x = 44,016,082.61/7,461.81
  6. Step 6: Final answer
    x = 5,898.85

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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.