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Finding the Fourth Proportional to 7,542.84, 10,409.61 and 4,356.73

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Solution

The fourth proportional to 7,542.84, 10,409.61 and 4,356.73 is: 6,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.84 : 10,409.61 = 4,356.73 : x
  2. Step 2: Convert to fraction form
    7,542.84/10,409.61 = 4,356.73/x
  3. Step 3: Cross multiply
    7,542.84x = 10,409.61 × 4,356.73
  4. Step 4: Simplify right side
    7,542.84x = 45,351,860.18
  5. Step 5: Solve for x
    x = 45,351,860.18/7,542.84
  6. Step 6: Final answer
    x = 6,012.57

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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.