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Finding the Fourth Proportional to 11,176.12, 15,422.99 and 6,071.60

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Solution

The fourth proportional to 11,176.12, 15,422.99 and 6,071.60 is: 8,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.12 : 15,422.99 = 6,071.60 : x
  2. Step 2: Convert to fraction form
    11,176.12/15,422.99 = 6,071.60/x
  3. Step 3: Cross multiply
    11,176.12x = 15,422.99 × 6,071.60
  4. Step 4: Simplify right side
    11,176.12x = 93,642,226.08
  5. Step 5: Solve for x
    x = 93,642,226.08/11,176.12
  6. Step 6: Final answer
    x = 8,378.78

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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.