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Finding the Fourth Proportional to 7,412.13, 10,232.97 and 4,901.52

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Solution

The fourth proportional to 7,412.13, 10,232.97 and 4,901.52 is: 6,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.13 : 10,232.97 = 4,901.52 : x
  2. Step 2: Convert to fraction form
    7,412.13/10,232.97 = 4,901.52/x
  3. Step 3: Cross multiply
    7,412.13x = 10,232.97 × 4,901.52
  4. Step 4: Simplify right side
    7,412.13x = 50,157,107.11
  5. Step 5: Solve for x
    x = 50,157,107.11/7,412.13
  6. Step 6: Final answer
    x = 6,766.90

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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.