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Finding the Fourth Proportional to 10,867.68, 14,996.16 and 6,674.88

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Solution

The fourth proportional to 10,867.68, 14,996.16 and 6,674.88 is: 9,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.68 : 14,996.16 = 6,674.88 : x
  2. Step 2: Convert to fraction form
    10,867.68/14,996.16 = 6,674.88/x
  3. Step 3: Cross multiply
    10,867.68x = 14,996.16 × 6,674.88
  4. Step 4: Simplify right side
    10,867.68x = 100,097,568.46
  5. Step 5: Solve for x
    x = 100,097,568.46/10,867.68
  6. Step 6: Final answer
    x = 9,210.57

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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.