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Finding the Fourth Proportional to 11,458.62, 15,812.84 and 6,422.84

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Solution

The fourth proportional to 11,458.62, 15,812.84 and 6,422.84 is: 8,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.62 : 15,812.84 = 6,422.84 : x
  2. Step 2: Convert to fraction form
    11,458.62/15,812.84 = 6,422.84/x
  3. Step 3: Cross multiply
    11,458.62x = 15,812.84 × 6,422.84
  4. Step 4: Simplify right side
    11,458.62x = 101,563,278.26
  5. Step 5: Solve for x
    x = 101,563,278.26/11,458.62
  6. Step 6: Final answer
    x = 8,863.48

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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.