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Finding the Fourth Proportional to 7,468.36, 10,306.13 and 4,065.44

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Solution

The fourth proportional to 7,468.36, 10,306.13 and 4,065.44 is: 5,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.36 : 10,306.13 = 4,065.44 : x
  2. Step 2: Convert to fraction form
    7,468.36/10,306.13 = 4,065.44/x
  3. Step 3: Cross multiply
    7,468.36x = 10,306.13 × 4,065.44
  4. Step 4: Simplify right side
    7,468.36x = 41,898,953.15
  5. Step 5: Solve for x
    x = 41,898,953.15/7,468.36
  6. Step 6: Final answer
    x = 5,610.19

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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.