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Finding the Fourth Proportional to 7,285.14, 10,046.82 and 5,401.41

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Solution

The fourth proportional to 7,285.14, 10,046.82 and 5,401.41 is: 7,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.14 : 10,046.82 = 5,401.41 : x
  2. Step 2: Convert to fraction form
    7,285.14/10,046.82 = 5,401.41/x
  3. Step 3: Cross multiply
    7,285.14x = 10,046.82 × 5,401.41
  4. Step 4: Simplify right side
    7,285.14x = 54,266,994.02
  5. Step 5: Solve for x
    x = 54,266,994.02/7,285.14
  6. Step 6: Final answer
    x = 7,449.00

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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.