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Finding the Fourth Proportional to 7,153.64, 10,721.80 and 3,041

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Solution

The fourth proportional to 7,153.64, 10,721.80 and 3,041 is: 4,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.64 : 10,721.80 = 3,041 : x
  2. Step 2: Convert to fraction form
    7,153.64/10,721.80 = 3,041/x
  3. Step 3: Cross multiply
    7,153.64x = 10,721.80 × 3,041
  4. Step 4: Simplify right side
    7,153.64x = 32,604,993.80
  5. Step 5: Solve for x
    x = 32,604,993.80/7,153.64
  6. Step 6: Final answer
    x = 4,557.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.