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Finding the Fourth Proportional to 7,458.64, 10,295.07 and 4,974.64

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Solution

The fourth proportional to 7,458.64, 10,295.07 and 4,974.64 is: 6,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.64 : 10,295.07 = 4,974.64 : x
  2. Step 2: Convert to fraction form
    7,458.64/10,295.07 = 4,974.64/x
  3. Step 3: Cross multiply
    7,458.64x = 10,295.07 × 4,974.64
  4. Step 4: Simplify right side
    7,458.64x = 51,214,267.02
  5. Step 5: Solve for x
    x = 51,214,267.02/7,458.64
  6. Step 6: Final answer
    x = 6,866.44

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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.