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Finding the Fourth Proportional to 10,268.94, 14,168.88 and 7,881.60

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Solution

The fourth proportional to 10,268.94, 14,168.88 and 7,881.60 is: 10,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.94 : 14,168.88 = 7,881.60 : x
  2. Step 2: Convert to fraction form
    10,268.94/14,168.88 = 7,881.60/x
  3. Step 3: Cross multiply
    10,268.94x = 14,168.88 × 7,881.60
  4. Step 4: Simplify right side
    10,268.94x = 111,673,444.61
  5. Step 5: Solve for x
    x = 111,673,444.61/10,268.94
  6. Step 6: Final answer
    x = 10,874.88

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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.