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Finding the Fourth Proportional to 7,158.34, 10,725.82 and 3,643.51

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Solution

The fourth proportional to 7,158.34, 10,725.82 and 3,643.51 is: 5,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.34 : 10,725.82 = 3,643.51 : x
  2. Step 2: Convert to fraction form
    7,158.34/10,725.82 = 3,643.51/x
  3. Step 3: Cross multiply
    7,158.34x = 10,725.82 × 3,643.51
  4. Step 4: Simplify right side
    7,158.34x = 39,079,632.43
  5. Step 5: Solve for x
    x = 39,079,632.43/7,158.34
  6. Step 6: Final answer
    x = 5,459.31

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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.