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Finding the Fourth Proportional to 25,835.40, 38,753.31 and 7,116.47

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Solution

The fourth proportional to 25,835.40, 38,753.31 and 7,116.47 is: 10,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.40 : 38,753.31 = 7,116.47 : x
  2. Step 2: Convert to fraction form
    25,835.40/38,753.31 = 7,116.47/x
  3. Step 3: Cross multiply
    25,835.40x = 38,753.31 × 7,116.47
  4. Step 4: Simplify right side
    25,835.40x = 275,786,768.02
  5. Step 5: Solve for x
    x = 275,786,768.02/25,835.40
  6. Step 6: Final answer
    x = 10,674.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.