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Finding the Fourth Proportional to 10,102.68, 13,940.78 and 7,451.55

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Solution

The fourth proportional to 10,102.68, 13,940.78 and 7,451.55 is: 10,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.68 : 13,940.78 = 7,451.55 : x
  2. Step 2: Convert to fraction form
    10,102.68/13,940.78 = 7,451.55/x
  3. Step 3: Cross multiply
    10,102.68x = 13,940.78 × 7,451.55
  4. Step 4: Simplify right side
    10,102.68x = 103,880,381.95
  5. Step 5: Solve for x
    x = 103,880,381.95/10,102.68
  6. Step 6: Final answer
    x = 10,282.46

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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.