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Finding the Fourth Proportional to 7,152.35, 10,721.00 and 3,864.56

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Solution

The fourth proportional to 7,152.35, 10,721.00 and 3,864.56 is: 5,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.35 : 10,721.00 = 3,864.56 : x
  2. Step 2: Convert to fraction form
    7,152.35/10,721.00 = 3,864.56/x
  3. Step 3: Cross multiply
    7,152.35x = 10,721.00 × 3,864.56
  4. Step 4: Simplify right side
    7,152.35x = 41,431,903.82
  5. Step 5: Solve for x
    x = 41,431,903.82/7,152.35
  6. Step 6: Final answer
    x = 5,792.77

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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.