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Finding the Fourth Proportional to 11,322.94, 15,626.15 and 6,287.16

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Solution

The fourth proportional to 11,322.94, 15,626.15 and 6,287.16 is: 8,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.94 : 15,626.15 = 6,287.16 : x
  2. Step 2: Convert to fraction form
    11,322.94/15,626.15 = 6,287.16/x
  3. Step 3: Cross multiply
    11,322.94x = 15,626.15 × 6,287.16
  4. Step 4: Simplify right side
    11,322.94x = 98,244,073.80
  5. Step 5: Solve for x
    x = 98,244,073.80/11,322.94
  6. Step 6: Final answer
    x = 8,676.55

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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.