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Finding the Fourth Proportional to 10,670.89, 14,724.41 and 6,194.59

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Solution

The fourth proportional to 10,670.89, 14,724.41 and 6,194.59 is: 8,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.89 : 14,724.41 = 6,194.59 : x
  2. Step 2: Convert to fraction form
    10,670.89/14,724.41 = 6,194.59/x
  3. Step 3: Cross multiply
    10,670.89x = 14,724.41 × 6,194.59
  4. Step 4: Simplify right side
    10,670.89x = 91,211,651.97
  5. Step 5: Solve for x
    x = 91,211,651.97/10,670.89
  6. Step 6: Final answer
    x = 8,547.71

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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.