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Finding the Fourth Proportional to 10,854.50, 16,270.40 and 5,014.94

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Solution

The fourth proportional to 10,854.50, 16,270.40 and 5,014.94 is: 7,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.50 : 16,270.40 = 5,014.94 : x
  2. Step 2: Convert to fraction form
    10,854.50/16,270.40 = 5,014.94/x
  3. Step 3: Cross multiply
    10,854.50x = 16,270.40 × 5,014.94
  4. Step 4: Simplify right side
    10,854.50x = 81,595,079.78
  5. Step 5: Solve for x
    x = 81,595,079.78/10,854.50
  6. Step 6: Final answer
    x = 7,517.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.