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Finding the Fourth Proportional to 10,274.82, 14,186.34 and 7,880.64

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Solution

The fourth proportional to 10,274.82, 14,186.34 and 7,880.64 is: 10,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.82 : 14,186.34 = 7,880.64 : x
  2. Step 2: Convert to fraction form
    10,274.82/14,186.34 = 7,880.64/x
  3. Step 3: Cross multiply
    10,274.82x = 14,186.34 × 7,880.64
  4. Step 4: Simplify right side
    10,274.82x = 111,797,438.46
  5. Step 5: Solve for x
    x = 111,797,438.46/10,274.82
  6. Step 6: Final answer
    x = 10,880.72

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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.