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Finding the Fourth Proportional to 7,314.84, 10,093.75 and 4,127.85

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Solution

The fourth proportional to 7,314.84, 10,093.75 and 4,127.85 is: 5,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.84 : 10,093.75 = 4,127.85 : x
  2. Step 2: Convert to fraction form
    7,314.84/10,093.75 = 4,127.85/x
  3. Step 3: Cross multiply
    7,314.84x = 10,093.75 × 4,127.85
  4. Step 4: Simplify right side
    7,314.84x = 41,665,475.62
  5. Step 5: Solve for x
    x = 41,665,475.62/7,314.84
  6. Step 6: Final answer
    x = 5,696.02

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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.