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Finding the Fourth Proportional to 7,537.94, 10,400.77 and 4,553.19

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Solution

The fourth proportional to 7,537.94, 10,400.77 and 4,553.19 is: 6,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.94 : 10,400.77 = 4,553.19 : x
  2. Step 2: Convert to fraction form
    7,537.94/10,400.77 = 4,553.19/x
  3. Step 3: Cross multiply
    7,537.94x = 10,400.77 × 4,553.19
  4. Step 4: Simplify right side
    7,537.94x = 47,356,687.65
  5. Step 5: Solve for x
    x = 47,356,687.65/7,537.94
  6. Step 6: Final answer
    x = 6,282.45

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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.