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Finding the Fourth Proportional to 10,517.94, 14,510.21 and 6,040.67

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Solution

The fourth proportional to 10,517.94, 14,510.21 and 6,040.67 is: 8,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.94 : 14,510.21 = 6,040.67 : x
  2. Step 2: Convert to fraction form
    10,517.94/14,510.21 = 6,040.67/x
  3. Step 3: Cross multiply
    10,517.94x = 14,510.21 × 6,040.67
  4. Step 4: Simplify right side
    10,517.94x = 87,651,287.49
  5. Step 5: Solve for x
    x = 87,651,287.49/10,517.94
  6. Step 6: Final answer
    x = 8,333.50

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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.