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Finding the Fourth Proportional to 7,461.93, 10,296.72 and 4,274.61

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Solution

The fourth proportional to 7,461.93, 10,296.72 and 4,274.61 is: 5,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.93 : 10,296.72 = 4,274.61 : x
  2. Step 2: Convert to fraction form
    7,461.93/10,296.72 = 4,274.61/x
  3. Step 3: Cross multiply
    7,461.93x = 10,296.72 × 4,274.61
  4. Step 4: Simplify right side
    7,461.93x = 44,014,516.92
  5. Step 5: Solve for x
    x = 44,014,516.92/7,461.93
  6. Step 6: Final answer
    x = 5,898.54

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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.