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Finding the Fourth Proportional to 7,643.33, 10,531.98 and 6,145.23

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Solution

The fourth proportional to 7,643.33, 10,531.98 and 6,145.23 is: 8,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.33 : 10,531.98 = 6,145.23 : x
  2. Step 2: Convert to fraction form
    7,643.33/10,531.98 = 6,145.23/x
  3. Step 3: Cross multiply
    7,643.33x = 10,531.98 × 6,145.23
  4. Step 4: Simplify right side
    7,643.33x = 64,721,439.46
  5. Step 5: Solve for x
    x = 64,721,439.46/7,643.33
  6. Step 6: Final answer
    x = 8,467.71

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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.