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Finding the Fourth Proportional to 7,428.09, 10,241.31 and 5,306.16

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Solution

The fourth proportional to 7,428.09, 10,241.31 and 5,306.16 is: 7,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.09 : 10,241.31 = 5,306.16 : x
  2. Step 2: Convert to fraction form
    7,428.09/10,241.31 = 5,306.16/x
  3. Step 3: Cross multiply
    7,428.09x = 10,241.31 × 5,306.16
  4. Step 4: Simplify right side
    7,428.09x = 54,342,029.47
  5. Step 5: Solve for x
    x = 54,342,029.47/7,428.09
  6. Step 6: Final answer
    x = 7,315.75

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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.