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Finding the Fourth Proportional to 7,159.34, 10,727.32 and 3,644.51

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Solution

The fourth proportional to 7,159.34, 10,727.32 and 3,644.51 is: 5,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.34 : 10,727.32 = 3,644.51 : x
  2. Step 2: Convert to fraction form
    7,159.34/10,727.32 = 3,644.51/x
  3. Step 3: Cross multiply
    7,159.34x = 10,727.32 × 3,644.51
  4. Step 4: Simplify right side
    7,159.34x = 39,095,825.01
  5. Step 5: Solve for x
    x = 39,095,825.01/7,159.34
  6. Step 6: Final answer
    x = 5,460.81

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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.