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Finding the Fourth Proportional to 7,325.82, 10,108.80 and 4,138.74

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Solution

The fourth proportional to 7,325.82, 10,108.80 and 4,138.74 is: 5,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.82 : 10,108.80 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    7,325.82/10,108.80 = 4,138.74/x
  3. Step 3: Cross multiply
    7,325.82x = 10,108.80 × 4,138.74
  4. Step 4: Simplify right side
    7,325.82x = 41,837,694.91
  5. Step 5: Solve for x
    x = 41,837,694.91/7,325.82
  6. Step 6: Final answer
    x = 5,710.99

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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.