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Finding the Fourth Proportional to 7,460.94, 10,296.60 and 4,938.69

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Solution

The fourth proportional to 7,460.94, 10,296.60 and 4,938.69 is: 6,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.94 : 10,296.60 = 4,938.69 : x
  2. Step 2: Convert to fraction form
    7,460.94/10,296.60 = 4,938.69/x
  3. Step 3: Cross multiply
    7,460.94x = 10,296.60 × 4,938.69
  4. Step 4: Simplify right side
    7,460.94x = 50,851,715.45
  5. Step 5: Solve for x
    x = 50,851,715.45/7,460.94
  6. Step 6: Final answer
    x = 6,815.73

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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.