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Finding the Fourth Proportional to 7,509.73, 10,364.18 and 4,152.80

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Solution

The fourth proportional to 7,509.73, 10,364.18 and 4,152.80 is: 5,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.73 : 10,364.18 = 4,152.80 : x
  2. Step 2: Convert to fraction form
    7,509.73/10,364.18 = 4,152.80/x
  3. Step 3: Cross multiply
    7,509.73x = 10,364.18 × 4,152.80
  4. Step 4: Simplify right side
    7,509.73x = 43,040,366.70
  5. Step 5: Solve for x
    x = 43,040,366.70/7,509.73
  6. Step 6: Final answer
    x = 5,731.28

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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.