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Finding the Fourth Proportional to 10,171.55, 14,035.51 and 5,694.95

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Solution

The fourth proportional to 10,171.55, 14,035.51 and 5,694.95 is: 7,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.55 : 14,035.51 = 5,694.95 : x
  2. Step 2: Convert to fraction form
    10,171.55/14,035.51 = 5,694.95/x
  3. Step 3: Cross multiply
    10,171.55x = 14,035.51 × 5,694.95
  4. Step 4: Simplify right side
    10,171.55x = 79,931,527.67
  5. Step 5: Solve for x
    x = 79,931,527.67/10,171.55
  6. Step 6: Final answer
    x = 7,858.34

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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.