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Finding the Fourth Proportional to 11,457.08, 15,811.88 and 6,422.15

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Solution

The fourth proportional to 11,457.08, 15,811.88 and 6,422.15 is: 8,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.08 : 15,811.88 = 6,422.15 : x
  2. Step 2: Convert to fraction form
    11,457.08/15,811.88 = 6,422.15/x
  3. Step 3: Cross multiply
    11,457.08x = 15,811.88 × 6,422.15
  4. Step 4: Simplify right side
    11,457.08x = 101,546,265.14
  5. Step 5: Solve for x
    x = 101,546,265.14/11,457.08
  6. Step 6: Final answer
    x = 8,863.19

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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.