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Finding the Fourth Proportional to 7,284.94, 10,052.97 and 4,098.30

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Solution

The fourth proportional to 7,284.94, 10,052.97 and 4,098.30 is: 5,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.94 : 10,052.97 = 4,098.30 : x
  2. Step 2: Convert to fraction form
    7,284.94/10,052.97 = 4,098.30/x
  3. Step 3: Cross multiply
    7,284.94x = 10,052.97 × 4,098.30
  4. Step 4: Simplify right side
    7,284.94x = 41,200,086.95
  5. Step 5: Solve for x
    x = 41,200,086.95/7,284.94
  6. Step 6: Final answer
    x = 5,655.51

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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.