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Finding the Fourth Proportional to 10,842.66, 14,964.12 and 6,366.60

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Solution

The fourth proportional to 10,842.66, 14,964.12 and 6,366.60 is: 8,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.66 : 14,964.12 = 6,366.60 : x
  2. Step 2: Convert to fraction form
    10,842.66/14,964.12 = 6,366.60/x
  3. Step 3: Cross multiply
    10,842.66x = 14,964.12 × 6,366.60
  4. Step 4: Simplify right side
    10,842.66x = 95,270,566.39
  5. Step 5: Solve for x
    x = 95,270,566.39/10,842.66
  6. Step 6: Final answer
    x = 8,786.64

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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.